Monday

April 20, 2015

April 20, 2015

Number of results: 22,358

**Maths- Probabilty**

1. From a bag containing 5 gold and 3 red marbles that feel identical, one is drawn at random. If the first marble drawn is not replaced before the second is drawn: i) Explain why the probability of picking the second gold marble is 4/7 and why the probability of picking two ...
*February 19, 2010 by Kesha*

**math *check***

A bag contains 9 green marbles and 11 white marbles. You select a marble at random. What are the odds in favor of picking a green marble? A. 9:20 B. 2:9 C. 11:9 D. 9:11***?
*June 10, 2014 by Me*

**Math**

Bert has a bag with 12 blue marbles, 6 green marbles, 8 purple marbles, and 4 red marbles. If he want the probability of picking a blue marble to be 1/2 what should he do?
*November 27, 2010 by Michelle*

**Math(check answer)**

A bag contains 9 green marbles and 11 white marbles. You select a marble at random. What are the odds in favor of picking a green marble? A. 9:20 B. 2:9 C. 11:9 D. 9:11 (I think its a.)
*March 5, 2014 by Anonymous*

**math**

One white marble, two blue marbles, and three red marbles were in a bag. One marble was drawn from the bag and then put back. then another marble was drawn. What is the probability that a white marble was drawn both times? Is the answer 1/36? 1/6 * 1/6
*June 17, 2013 by cici*

**math**

one white marble, two blue marbles, and three red marbles were in a bag. One marble was drawn from the bag and then put back. then another marble was drawn. What is the probability that a white marble was drawn both times? answer: 1/36
*August 27, 2013 by cici*

**elem math core**

A bag contains one each of red, blue, green, yellow and white marbles. Give the sample space for the following experiments. A) one marble is drawn at random B) one marble is drawn, but not replaced,and then a second marble is drawn.
*July 11, 2012 by jordan*

**Math**

A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red,then blue)? A. 77/164 B.19/41 C.90/1681 D. 45/41
*March 5, 2014 by Anonymous*

**Math**

Can somebody help me solve this problem ? I am not so good with probability. - A bag contains 2 green marbles and 3 white marbles. One marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the ...
*January 29, 2013 by Chris*

**math**

a bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. you choose a marble, replace it, and choose again. what is P(read, then blue)? A. 77/164 B. 19/41 C. 90/1681 D. 45/41
*May 7, 2014 by help please*

**math**

From a box containing 5 blue marbles,10 red marbles,and 8 yellow marbles,Lisa removed 3 marble,one of which was blue.f she removes one more marble at random,what is the probability that it will be blur? a. 1/4 b. 5/21 c. 1/5 d. 2/7 e. 1/6 please answer and explain
*October 16, 2014 by thomas*

**Math**

Bobby has a bag of marbles with nine red marbles, 13 yellow marbles and six orange marbles. He picks one marble and keeps it out. He wants to find the probability of picking a yellow marble by randomly picking one more marble from the bag. What type of event does this ...
*April 25, 2012 by Baby Ruth*

**math**

Hi! I'm Maddie. I need some help on my homework. Here are three problems I need help with: A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the ...
*August 21, 2013 by Maddie*

**Math**

A bag contains 5 green marbles, 8 red marbles, 11 orange marbles, 7 brown marbles, and 12 blue marbles. you choose a marble, replace it, and choose again. what is P(red then blue.)
*May 7, 2014 by SchoolHelpNeeded*

**Math.**

A bowl contains 8 marbles: 3 red, 2 blue, 1 white, and 2 green. If 3 marbles are randomly selected without replacement, what is the probability that no green marble is selected? I don't know how to do probability.
*April 15, 2011 by Diana*

**math**

Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a green marble, replacing it, and then picking a brown marble?
*January 31, 2012 by Nick*

**Math**

A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a rainbow marble? If a rainbow marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a lavender marble? Give ...
*July 30, 2011 by Jen*

**Math**

A bag contains 8 green marbles and 4 blue marbles. If two marbles are drawn in succession without replacing them in the bag, what is the probability of drawing a green marble on the second draw?
*October 7, 2014 by Rhonda*

**Algebra**

14) There are 6 marbles in a bag, 3 blue, 2 red, 1 green. Aubrey reaches into the bag and pulls out a marble, does not replace it, then chooses another. What is the probability that Aubrey chides a blue and then a green marble?
*June 7, 2012 by Sammyjoo*

**Math**

A bag contains 4 green marbles, 6 red marbles, and 2 white marbles. Three marbles are drawn at random with replacement. With replacement means that after a marble is drawn, it is replaced before the next one is drawn. Find the probability of all three blue.
*May 18, 2012 by Junior*

**Algebra**

A bag has 6 green marbles, 4 red marbles, 5 yellow marbles, and 3 purple marbles. What is the probability of choosing a purple marble? A.1/6 B.6/18 C.3/20 D.1/9 My choice is A
*March 18, 2013 by Cassie*

**Math**

There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble?
*June 28, 2011 by KRH*

**Math**

A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. Find the probability. P(red and white) Please help me
*February 2, 2012 by Lee*

**Math**

A bag contains five white marbles and one green marble. The marbles are randomly selected one at a time. What are the odds of picking the green marble on the first selection?
*February 1, 2011 by Briella*

**Math**

How do you do this question? It has to do with dependent events. There are 2 green marbles, 3 blue marbles and 4 red marbles. Find the probability for the question below if you pick a marble, do not replace it, then pick a second marble. Probability of green, then red Please ...
*March 11, 2009 by Zanie*

**math**

a bag has 6 green marbles, 4 red marbles, 5 yellow marbles, and 3 purple marbles. what is the probability of choosing a purple marble? A. 1/6 B. 6/18 C. 3/20*** D. 1/9
*April 22, 2014 by please help ms.sue*

**math**

There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble? 24% 56% 32% 10%
*November 2, 2012 by sakiera*

**Math**

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. A) What is the probability of selecting a purple marble and then a white marble? B) What is the probability of selecting ...
*April 13, 2015 by Rima*

**Math-confused!**

A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a lavender marble? If a lavender marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a turquoise marble? ...
*July 28, 2011 by Jen*

**Math**

One bag contains 2 green marbles and 4 white marbles and a second bag contains 3 green marbles and 1 white marble. If Jon randomly draws one marble from each bag what is the probability that they are both green?
*April 15, 2012 by William*

**math**

There are fifty marbles in a sack: red, blue and green. There are ten more green than blue marbles in the sack. The probability of drawing a red or blue marble is one-half. Write and solve an equation to determine how many of each color marble is in the sack
*March 29, 2011 by Mai*

**Math**

Liam has a bag containing five red, two blue, five green, six yellow and two white marbles that are all the same size and shape. what is the probability of randomly choosing a green marble on the first pick, not replacing it, and then randomly choosing a green marble on the ...
*March 18, 2014 by Kaleb*

**math plz help**

A bag contains 5 green marbles,8 red marbles,11 orange marbles, 7 brown marbles, and 12 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)? A.20/43 B.40/43 C.20/1849 D.96/1849 Is the answer A?? Thank you in advance
*April 15, 2015 by Pink*

**Math**

A bag contains 5 blue, 4 red, 9 white, and 6 white marbles. If a marble is drawn at random and replaced 100 times, how many times would you expect to draw a green marble? Answer: 12/50
*January 14, 2014 by Tom*

**math**

23.Suppose you choose a marble from a bag containing 6 red marbles, 3 white marbles, and 4 blue marbles. You return the first marble to the bag and then choose again. Find P(red and blue). a. 10/13 b. 9/13 c. 24/169 d. 24/13
*May 29, 2012 by Anonymous*

**Probability**

a bag contains 9 red marbles and 4 blue marbles. how many clear marbles should be added to the bag so the probibility of drawing a red marble is 3/5?????
*April 30, 2012 by Meg*

**Algebra**

A bag has 2x+1 red marbles, 3x blue marbles, and x+2 green marbles. What is the probability of picking a red marble?
*May 20, 2014 by Michele*

**Math**

given a jar contains four marbles, each a different color: red, blue, green, and yellow. If you draw two marbles from the jar, one after another, replacing the first before drawing the second,what is the probability of getting at least one red marble and one green marble?
*October 6, 2009 by Anonymous*

**math**

A bag contains the following marbles:6 red,4 orange,3 yellow,2 blue and 5 green. You choose a marble at random and do not replace it. Then you select another marble. P(red,then blue)3/95 P(orange,then blue) 2/95 P(blue,then yellow) 3/190 P(red,then yellow) 9/190 P(blue,then ...
*January 13, 2015 by kennedy*

**math**

A baq of 60 marbles has 8 red, 9 blue, 10 orange, and 33 green marbles. In drawing a marble from the bag 100 times, an orange marble was picked 13 times. What was the likelihood of an orange marble being picked? Is this more or lessthan the actual number?
*May 11, 2011 by Anonymous*

**Math**

A jar contains 5 yellow marbles, 16 green marbles, and 8 black marbles. If one marble is selected at random, what is the probability that it is not green? 13 chances out of 16 (5/29*4/28)+(5/29*8/28)+(8/29*5/28)+(8/29*7/28)=39/203
*March 25, 2007 by Carlos*

**Math**

One bag contains 5 red marbles, 4 blue marbles, and 3 yellow marbles, and a second bag contains 4 red marbles, 6 blue marbles, and 5 yellow marbles. If Lydia randomly draws one marble from each bag, what is the probability that they are both not yellow?
*May 9, 2012 by Hannah*

**Math Help? Check my answers.**

1. A spinner is divided into 10 equal sections numbered from 0 to 10. You spin the spinner once. What is P(divisible by 3)? 1/3 1/2 2/5 3/10** 2. A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, ...
*April 9, 2014 by Allison*

**Algebra**

Out of jar with 100 marbles, 49 are blue marbles, 7 are green marbles, 27 are red marbles and 17 are yellow marbles. What is the probability of drawing a red marble?
*January 10, 2011 by Denver*

**Math**

There are 5 red ,3 green and 4 blue marbles in a bag.what would be the chance of getting a red marble if the marble was pulled out of the bag without looking?
*November 12, 2013 by Pietro*

**math**

a box contains 3 red marbles, 4 white marbles and 5 yellow marbles.find the probability that a red marble and then a yellow marble to be pick up on two successives drawing then there is a replacement of the marbles
*February 24, 2015 by esman *

**Algebra**

A bag contain 9 red, 8 yellow, 5 pink and 6 blue marbles. The experiment is to randomly select on marble out of the bag. What is the probability that chosen marble is a)blue? b)yellow? c) red or pink d)green or blue? need to know what all are
*October 19, 2012 by #@@#*

**Math >.<**

Please check my answers! A(A box contains 2 yellow,3 red,2 blue,3 purple, and 4 pink marbles.Once a marble is selected, it is {{not}} replaced. Find each probability. 1.P(two purple marbles) my answer~ 1/91 2. P(two yellow marbles) my answer~ 2/4 or 1/7 These next ones I need...
*December 5, 2013 by Carley *

**math**

There is a jar of 16 marbles. 4 red, 7 blue and 5 green. 1) What is the probability of selecting a red marble, REPLACING it, and then selecting a blue marble. 2) What is the probability of selecting a red marble, then SETTING IT ASIDEm then selecting a blue marble?
*May 24, 2013 by Claire*

**math**

If the first marble is replaced before the second marble is drawn, what is the probability of selecting a white marble then a red marble? there are 4 red marbles 5 white and 3 blue
*January 18, 2013 by heather*

**statistics**

A box contains 19 red marbles and 19 green marbles. Sampling at random from the box five times with replacement, you have drawn a red marble all five times. What is the probability of drawing a red marble the sixth time?
*October 12, 2014 by lucy*

**Math**

A bag contains 4 green marbles, 6 red marbles, and 2 white marbles. Three marbles are drawn at random with replacement. With replacement means that after a marble is drawn, it is replaced before the next one is drawn. What is the probability of not green, not red, not white?
*May 18, 2012 by Junior*

**5 th grade math**

pilar has 4 marbles in a bag .they are green,red,blue,and yellow.she chooses a marble without looking,replaces it,and then chooses another marble.if she wants to get a green marble exactly 1 time out out of the 2 draws,how many favorable outcomes are possible?
*April 28, 2013 by Pilar*

**Math**

A bag contains 5 red, 5 blue, 5 green, and 5 white marbles. Two marbles are drawn, but the first marble is not replaced. Find P(red, then blue)
*July 22, 2008 by Nathaniel*

**algebra 2**

In a bag of marbles you have 6 green, 4 yellow, 8 blue, and 2 red marbles. What is the probability of picking a blue marble from the bag?
*January 23, 2015 by Anonymous*

**math 7**

Mary had a bag that contains 9 green marbles, 7 red marbles, and 8 blue marbles. whats the prob that Mary will draw a green or red marble\
*March 14, 2013 by rockrboiluvr*

**Algebra **

A box contains 15 blue marbles, 25 yellow marbles, 20 green marbles and 40 red marbles. How many ,arbles must you select to be sure that a green marble has been chosen ?
*December 18, 2011 by Lacey *

**Statistics**

True or False A jar contains 15 red marbles and 75 blue marbles. If you randomly select a marble from this jar, the probability of obtaining a red marble is p = 15/90.
*December 5, 2013 by Lyndyc*

**MATH ✿╣Check╠✿**

A bag has 6 green marbles, 4 red marbles, 5 yellow marbles, and 3 purple marbles. What is the probability of choosing a purple marble? 1/6**? 6/18 3/20 1/9
*May 4, 2014 by luna*

**4th grade math**

pilar has 4 marbles in a bag .they are green,red,blue,and yellow.she chooses a marble without looking,replaces it,and then chooses another marble.if she wants to get a green marble exactly 1 time out out of the 2 draws,how many favorable outcomes are possible?
*March 30, 2011 by megajolt*

**Matth**

I have 18 blue marbles, 16 green marbles, and 22 red marbles in a bag. What is the chance I will pick a green if I pick a marble at random?
*May 12, 2014 by Peter *

**Math**

A bag contains 2 red, 2 blue, and 2 green marbles, Sue takes one marble at a time from this bag without looking. What is the least number of marbles Sue must take from this bag to be sure that she has taken 2 marbles of the same color? A) 2 B)3 C)4 D)6
*October 26, 2008 by Pooja*

**statistics**

a hat contains 40 marbles, 16 of which are red and are green. if one marble is randomly selected out of this hat, what is the probability that this marble is red?
*February 22, 2015 by Anonymous*

**math**

A bag contains 6 red marbles nad 4 blue marbles if Dana draws one marble from the bag and then draws another without replacing the first, what is the probability that both marbles will be red?
*May 5, 2011 by heather*

**Statistics**

A bag contains two blue, three purple, four yellow, two red, three green and one orange marbles. What is the conditional probability that, without replacement, the second marble is purple given that the first marble is green?
*October 2, 2011 by Jessica*

**Statistics**

A bag contains two blue, three purple, four yellow, two red, three green and one orange marbles. What is the conditional probability that, without replacement, the second marble is purple given that the first marble is green?
*October 2, 2011 by Jessica*

**Statistics**

A bag contains two blue, three purple, four yellow, two red, three green and one orange marbles.p> What is the conditional probability that, without replacement, the second marble is purple given that the first marble is green?
*February 4, 2013 by Hayley*

**Math**

A bag contains two blue, three purple, four yellow, two red, three green and one orange marbles. What is the conditional probability that, without replacement, the second marble is purple given that the first marble was green?
*February 23, 2013 by Becky*

**math**

Eighteen marbles are dropped into a jar. There are 8 black marbles, 7 red ones, and 3 silver ones. Marbles are taken from the jar without looking. Use this information to answer these two questions. 1. If one marble is taken, what is the probability of taking a marble that is ...
*March 9, 2010 by Oscar*

**Algebra 1**

1. A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of randomly selecting a red marble then, without replacing it, randomly selecting a green marble? 2. A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are...
*June 26, 2012 by Candace*

**Algebra 2**

A bag contains 5 red, 9 white, and 10 blue marbles. Suppose you choose a marble from the bag and then choose another marble without replacing the first one. Find the probability of picking the same color both times.
*January 30, 2012 by Katy*

**math **

a bag contains 6 white 2 black and 10 green marbles if a marble is selected at random find the probability that it is green
*March 8, 2012 by Stephany*

**math125**

Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones. If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other ...
*December 29, 2013 by alicemarie*

**pre calculus**

A bag contains 4 blue marbles, 2 black marbles, and 3 red marbles. If a marble is randomly drawn from the bag, what is probability that it is not black? 1/2 2/9 5/9 7/9 14/19
*November 27, 2012 by king chris*

**Algebra 2**

suppose you have 10 green marbles, 10 gold marbles, and ten black marbles. You also have 3 bags. Your plan is to ask a friend to randomly select a marble from one bag. How should you distribute all the marbles amongthe 3 bags to maximize the probability that your friend will ...
*February 7, 2012 by Ann-Marie Guischer*

**math**

A bag contains 4 white marbles and 3 blue marbles. If a white marble is drawn and not put back, what is the probability of selecting another white marble?
*February 18, 2014 by mom helping son with homework*

**MATH**

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a blue marble, replacing it, and then picking a black marble?
*June 7, 2011 by Vince*

**Math**

given a jar contains four marbles, each a different color: red, blue, green, and yellow. If you draw two marbles from the jar, one after another, replacing the first before drawing the second,what is the probability of getting a red marble on the first draw and a green marble ...
*October 5, 2009 by Anonymous*

**math**

A jar contains 21 brown, 4 violet, and 6 white marbles. A marble is drawn at random. what is the probability you will not draw a white marble? Answer 6/31 A jar contains 6 pink, 7 violet, 26 green, and 13 blue marbles. A marble is drawn at random. what is the probability you ...
*March 13, 2014 by Anonymous*

**Math**

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a yellow marble, do not replace it, and pick a red marble?
*June 7, 2011 by Vince*

**MATH**

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a yellow marble, do not replace it, and pick a red marble?
*June 7, 2011 by Vince*

**math (check answer plz)**

7. A bag containing 4 green marbles, 6 red marbles, 14 orange marbles, 5 brown marbles, and 8 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)? A. 48/1369 B. 14/1369 C. 27/37 D. 14/37***?
*June 10, 2014 by Me*

**probability problem**

A box contains 6 green, 8 red, 5 yellow, and 10 blue marbles. Four marbles are drawn from the box at the same time. a) What is the probability that all four marbles are the same color? b) What is the probability that none of the marbles is blue? c) What is the probability that...
*February 24, 2012 by Sam*

**Math**

Find the sample space. a Bag contains 4 marbles: one each of red, blue, green and violet. Two marbles are drawn from the bag. assume that the first marble is not put in the bag before drawing the second marblle
*March 21, 2013 by Nangoyi*

**Math**

A bag contains 10 marbles: 1 red, 2 blue, 3 green, and 4 yellow. I reach into the bag and pick 5 marbles at random. Determine the probability that my pick has: (a) At least 2 yellow marbles. (b) At least 2 yellow marbles and at least 1 green marble. (c) All four colors ...
*November 13, 2012 by April*

**math**

. A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is not blue?
*June 9, 2011 by CC*

**math**

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is not blue?
*May 13, 2012 by free*

**Math**

An urn contains 3 red, 4 orange, and 6 yellow marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is yellow.
*October 13, 2014 by Tyler*

**Algebra**

A bag contains 7 blue, 5 purple, 12 red and 6 orange marbles. Find the probability, if you draw one marble at random from the bag. Select the simplest form. P(not blue)
*May 11, 2014 by Prima*

**Math**

There are 150 green marbles and 100 yellow marbles in a bag that contains 250 marbles. If only yellow marbles are added to the bag so that the probability of randomly drawing a yellow marble from the bag becomes 3/5, how many yellow marbles are in the bag?
*August 13, 2011 by alex*

**math**

The probability of rolling an even number of a die and drawing a red marble from a bag containing 3 red marble and 5 green marbles must be expressed as a reduced fraction of the form a/b what is the value of a and b?
*October 1, 2013 by sam*

**math-algebra**

7. A bag contains 5 red marbles, 6 green marbles, and 9 blue marbles. Suppose 3 marbles are chosen without replacement. What is the probability of choosing a red, a blue, and a red in that order?: A. 9/320 B. 5/152 C. 1/1280 D. 1/38
*September 26, 2007 by Anonymous*

**Math**

Suppose you have a bag containing two red marbles, two blue marbles, and two white marbles. You choose two marbles without looking. a. What is the probability that you will choose a red marble and then a blue marble without replacing the red one? b. What is the probability ...
*June 13, 2009 by D.*

**Staistics**

17 green marbles and 14 white marbles what is the probability of choosing a white marble first chosen without replacement was a green marble
*November 8, 2011 by Reese*

**MATH**

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a yellow marble, do not replace it, and pick another yellow marble?
*June 7, 2011 by Vince*

**Math ms sue please please please help!!!!!!**

1)a bag contains five red marbles and seven blue marbles. you pull one marble out of the bag and replace it before putting out a second marble. what kind of event is this? independent, dependent, or both? 2) A bag contains 5 marbles. Without looking, you pick a marble with ...
*November 10, 2013 by Math help*

**probability**

Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles, find the probability of drawing a white marble from Bag A followed by a white marble from Bag B.
*March 30, 2010 by jon*

**math-algebra**

7. A bag contains 5 red marbles, 6 green marbles, and 9 blue marbles. Suppose 3 marbles are chosen without replacement. What is the probability of choosing a red, a blue, and a red in that order?: A. 9/320 B. 5/152 C. 1/1280 D. 1/38 Please explain answer. Thanks
*September 26, 2007 by Anonymous*

**Math**

One bag contains 4 pink marbles and 4 turquoise marbles, and a second bag contains 2 white marbles and 1 pink marble. If Angel randomly draws one marble from each bag.... A) What is the probability that they are both pink?
*April 20, 2012 by Cindy*

**algebra 2 **

A bag contains 8 purple marbles and 3 yellow marbles. Without looking, you draw out two marbles at the same time. What is the probability that the first marble is purple and the second marble is yellow?
*April 10, 2011 by Rudi*