# combinatorics/probability

10,381 results

### combinatorics/probability

Can't figure this problem out... wasn't great at the combinatorics unit, then it turns out everything carries over to probability. five couples attend a bridge party, including mr. and mrs. smith. they are randomly assigned partnership pairs. 1. probability mr. smith will have...

### Probability/Combinatorics

If 4 cards are drawn at random from a standard deck of cards, what are the odds, or probability, that the first three will be of the same suit and the fourth of another suit?

### Combinatorics

The game is euchre which uses a 24 card deck (Ace through 9). The dealer picks up the King of diamonds, names diamonds trump, and discards the King of hearts. Dealer holds the K-10-9 diamonds, Ace spades, and 9 of clubs. Q1. What is the probability that his partner does not ...

### MATH

JOhn had prepared the problem sets for Levels 1 to 5 of Geometry and Combinatorics for next month but forgot to label which set was for which level. Since Calvin didn't label them, the computer assigned them labels 1 through 5 randomly, with each label appearing only once. The...

### combinatorics

Paint the 4 faces of a regular tetrahedron by using 3 types of colors, how many possible solutions are there?

### combinatorics

There are 4 kinds of colored beads( r, g, b, y) to seal onto the 6 vertices of a regular hexagon, how many solutions are there?

### combinatorics

10 red, 10 blue, 10 green matches are used to build a regular icosahedron, how many possible solutions are there?

### Combinatorics

In how many ways can 8 students be assigned to 2 groups if each group must have at least 3 students?

### Combinatorics

How many even integers which are between 1 and 1000 (including 1 and 1000) and relatively prime to 105?

### Math (Combinatorics)

How many ways to rearrange 9 a's, 2 b's, and 2c's so that we never see bc and both b's always appear before both c's?

### statistics

The below table shows the probabilities generated by rolling one die 50 times and noting the up face. What is the probability of getting an odd up face? roll 1 Probability 0.22 roll2 probability 0.10 roll 3 probability 0.18 roll 4 probability 0.12 roll 5 probability 0.18 roll ...

### math probability

this is a probability question... Suppose you are asked to choose a whole number between 1 and 13 inclusive. (a) what is the probability that it is odd?...7/13 (b) What is the probability that it is even?...6/13 (c) what is the probability that it is a multiple of 3?...4/13 (d...

### Combinatorics

We have two kind of tiles : 1 x 1 and 2 x 2, and use them to cover the 8 x 3 road without overlapping, how many different ways to arrange tiles there?

### Combinatorics

We have two kind of tiles : 1 x 1 and 2 x 2, and use them to cover the 8 x 3 road without overlapping, how many different ways to arrange tiles there?

### Combinatorics

If we roll 19 identical dices together at the same time and calculate the sum of the numbers rolled, how many different possible values of the sum can we get?

### combinatorics

1. You have k slots (of the same size) to drop n tokens into. How many ways can you do this if the tokens are marked? Unmarked? (Hint: try with 3 tokens and 7 slots first) 2. What is the probability of getting them all in the unique “winning” slot? (Do you use the marked ...

### combinatorics

Use 3 types of colored beads to seal onto the vertices of a regular pentagon, how many possible solutions are there? Hint: The bead is a full round bead

### Combinatorics

Please Help me with this question:Considering a 4*4 square grid,How many ways are there to fill each square with an integer from 1 to 10, such that the sum of each row and column is the same?The integers can be used multiple times

### Math check - Statistics

Can someone (preferably one of the long-term tutors) check my answers: Researchers trap 23 devils, and find that 18 of them are infected. Provide an estimate of disease prevalence. p-hat = (18/23)=0.783 Part II: assuming the same disease prevalence from above. If they trap 2 ...

### Math (Combinatorics)

In how many ways can I place 5 different beads on a bracelet if flipping or rotating the bracelet does not change the order of the beads?

### statistics

12. The probability that the Dow Jones stock index will close above 18000 at the end of the year is an example of (a) classical probability. (b) subjective probability. (c) independent probability. (d) priory probability. 13. The probability calculated based on observing a ...

### combinatorics

For the 6 faces and 8 vertices of a regular hexahedron, respectively sealed with red and blue these 2 beads (each face contains a bead and each vertex contains a bead), how many different types of solutions are there?

### Math

In an experiment, the probability of the event E is known to be .4. Also the probability of the event F is .8,and the probability of E∪F is 1. i) Compute the probability of these events: P(E∩F)= P(E-F)= ii) Suppose the experiment is run twice in succession. What is...

### Math

A number cube is rolled 100 times. The results are shown in the table below. Outcome: 1, 2, 3, 4, 5, 6. Number of times rolled: 22, 18, 9, 11, 19, 21. Find the experimental probability and express it as a percent. P(even) = ? A. 50% B. 40% C. 29%* How does the experimental ...

### Math

A number cube is rolled 100 times. The results are shown in the table below. Outcome: 1, 2, 3, 4, 5, 6. Number of times rolled: 22, 18, 9, 11, 19, 21. Find the experimental probability and express it as a percent. P(even) = ? A. 50% B. 40% C. 29%* How does the experimental ...

### Math

A spinner has numbers 1-16 on it. Probability of 6? 1/16 Probability not 6 15/16 Probability even number 8/16 Probability multiple of 3 5/16? Probability not a multiple of 3 11/16?

### COmbinatorics

A DNA chain is a string of As, Ts, Gs, and Cs. How many DNA chains are there of length 12 which have the following properties? Choose two of (a), (b), or (c) to submit: (a) Is a palindrome (A palindrome reads the same forwards and backwards, e.g., TAGGAT.)

### Finite Math

An urn contains sixteen red balls and seventeen white balls. A sample of three balls is selected at random and the number of red balls observed. Determine the probability distribution for this experiment: Number of Red Balls/Probability 0...Probability=? 1...Probability=? 2......

### math-probability

The Probability that Jodi makes a basket when playing basketball is .50, Jamal’s probability is .80 and Pat’s is .75. What is the probability that all three make a basket?

### Math Probability

If the probability that event A will happen is 1/4 and the probability of A not happening is 3/4, find the probability that event A happens 3 times out of 7 experiments

### MS.SUE DAMON REED PSYDAG PLZ HELP ON MATH PLZZZ!!!

1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal. P(not red) = ? (1 point) a 0.6 b 0.4 c 0.2 d 0.3 3. The table below shows the results of flipping two coins. How does the experimental ...

### Math - Statistics

I roll 12 4-sided dice. What is the probability that I roll at least one 2? What is the probability that I roll exactly three 2s? So i take it, on any give roll, the probability of rolling a 2 is .25 (25%); the probability of rolling something else must be .75 The probability ...

### Probablity

Samir had prepared the problem tests for Stages 1 to 5 of Geometry and Combinatorics for next week but forgot to label which test was for which stage. Since Samir didn't label them, the computer assigned them labels 1 through 5 randomly, with each label appearing only once. ...

### Probability Math

Event A has probability of 0.2 and event B has probability of 0.3. If they are independent, what is the probability that both of them happen? I can't remember how to do this one.

### maths

In a competition the probability of A wins is 3/7 and the probability of B wins also 3/7 and the probability of tie is 1/7 ,what is the probability of A wining 2 rounds?

### Math

10. A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45, Suppose the coin is tossed twice and the results of tosses are independent. a.What is the probability of obtaining exactly two heads? b.What is the probability of obtaining no ...

### MATH combinatorics HELP!!!!!

Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w in a set of the same ...

### Probability and statistics

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.n=22, x=18, p=0.85, q=.15

### Math

You flip a coin 20 times and get tails 15 times you flip the coin 80 more times.what do you expect to happen to the experimental probability of getting tails as you increase the number of trials a. The experimental probability will get closer to 50% b. The experimental ...

### PreCalculus

How do you find the probability of three events happening at the same time? Please walk me through the steps. If you are in ship and get hit by lightning the probability is 1/100000. And the probability of falling down into the ocean and getting eaten by a shark is 100/100000...

### statistics

Suppose that each unit of a system is up with probability 2/3 and down with probability 1/3. Different units are independent. For each one of the systems shown below, calculate the probability that the whole system is up (that is, that there exists a path from the left end to ...

### PROBABILITY MATH HELP!!!!!

A die is rolled. Find the probability of the given event. (a) The number showing is a 5; The probability is? (b) The number showing is an even number; The probability is ? (c) The number showing is greater than 5; The probability is?

### math

In a game, a player tosses a coin 4 times. If the player gets 3 or 4 heads, he/she wins. What is the theoretical probability of winning this game? I just need to know the outcomes. I don't know how to get them. Please and Thank you. Coin 1: 50% Heads Coin 2: 50% Heads Coin 3: ...

### Statistics

Event A occurs with probability 0.1 and event B with probability 0.5 A) What is the maximum probability that the intersection of A and B can have? B) What is the minimum probability that the intersection of A and B can have? C) If it is know that P(A complement and B ...

### math-Probability

In a certain manufacturing process the probability of a type I defect is 0.21, the probability of a type II defect is 0.31, and the probability of having both types of defects is 0.01. Find the probability of having neither type of defect.

### statistics

For any married couple who are members of a squash club, the probability that the husband has a degree is 2/4 and the probability that the wife has a degree is 1/4. The probability that the husband has a degree given that his wife has a degree is 3/9. A married couple is ...

### 12th grade

one type of probability used everyday is: a)experienced probability b)scientific probability c)frequency of occurence d)none of the above

### maths probability plz help

The Probability that a USA-based business man goes to paris by car is 0.6 and by air is 0.4. If he goes by car, the probability that he will be early for his appointment is 0.3 while if he goes by air, the probability he'll be early is 0.65 (i) what is the probability that he ...

### business

suppose that al knows that the probability of an investigation is 0.70 how low must the probability of water's completing its research on time be so that the probability of litres being awarded the contract is at least 0.65?

### Combinatorics

Bob is at an amusement park with 10 different rides. He only has time to go on 3 rides, before he needs to head back for his curfew. If he only wants to go on each ride a maximum of one time, how many different ways are there to go on 3 rides?

### Probability Help

Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with five children will have at least one boy. 1, 4/5, 13/16, 1/32, 31/32 Can someone please explain? Thank you

### Probability

When I swing at a nail, I drive it all the way in with probability 1/2. With probability 1/4, I hit it half-way in, and with 1/4 probability I miss it entirely. I'm pretty sure that if I swing 4 times at a nail, I'll get it all the way in almost all the time. Let's see if I'm ...

### Algebra/Probability

Suppose that you toss a coin and roll a die. What is the probability of obtaining tails or a six? (Enter the probability as a fraction.) I came up with 1/6 which does not sound right thank you for you time on this Holiday

### probability and statistics I NEED HELP

The MSU basketball team is playing OU. If the probability that MSU wins the game is 0.68 and the probability that OU wins is 0.27. 1. Find the probability that MSU or OU wins. 2. Find the Probability that there is a tie.

### Math (Combinatorics)

How many 4 digit positive integers have the ones digit a multiple of 1, the tens digit a multiple of 2, the hundreds digit a multiple of 3 and the thousands digit a multiple of 4?

### probability-April

The probability that a student passes Mathematics is 2/3 and the probability that he passes English is 4/9. If the probability that he will pass at least one subject is 4/5, then what is the probability that he will pass (i) Both the subjects? (ii) Exactly one of the subjects...

### Math-Probability

Hello, I'm trying to figure out this probability problem. Can anyone help walk me through? Thank you so much!! A box contains 10 green, 2 red, 7 yellow, and 6 blue marbles. Four marbles are drawn from the box without replacement. a) What is the probability that all four ...

### probability

Anne and Bob each have a deck of playing cards. Each flips over a randomly selected card. Assume that all pairs of cards are equally likely to be drawn. Determine the following probabilities: (1) The probability that at least one card is an ace, (2) the probability that the ...

### math urgent!

You flip a coin 20 times and get tails 15 times. You flip the coin 80 more times. What do you expect to happen to the experimental probability of getting tails as you increase the number of trials? The experimental probability will get closer to 50% The experimental ...

### Statistics

There is a 0.0416 probability that a best-of-seven contest will last four games, a 0.0804 probability that it will last five games, a 0.2132 probability that it will last six games, and a 0.6648 probability that it will last seven games. Find the mean and standard ...

### math ,correction

Is this correct? consider determining how many possible phone numbers are in an area code (repeated numbers allowed) Is this a combination, a permutation, or neither? I think it would be a combination wouldn't it? Since there are ten number possibilities in each of the three ...

### Statistics

An investor is considering an investment in a start-up company. she estimates that she has probability 0.25 of a $ 39,739 loss, probability 0.20 of a $ 19,759 profit, probability 0.15 of a $ 49,068 profit, and probability 0.40 of breaking even (a profit of $0). What is the ...

### probabilities

A weighted coin is flipped 200 times. Assume that the probability of a head is 0.3 and the probability of a tail is 0.7. Each flip is independent from the other flips. Let X be the total number of heads in the 200 flips. 1. What is the distribution of X ? 1 2. What is the ...

### Combinatorics

Calvin has 3 red juggling pins, 4 blue juggling pins, 5 white juggling pins, and 6 green juggling pins. How many ways can he give a set of 3 juggling pins to Dan?

### probability

Suppose the probability of surviving for 5 years after being diagnosed with a particular cancer is 0.60; and the probability of surviving 10 years is 0.20. If a person survives 5 years, what is the probability that she will survive 10 years.

### statistics

Let a random variable be distributed as shown below X=x : 0,1,2,3,4,5,6 P(x): .1 .09 .2 .15 .16 .2 (a) Find the probability p(6) (b) Find the probability P(3< X < 5) (c) Find the probability P(X < 4) (d) Find the probability P(X > 2)

### Probability

A loaded die has the property that the probability of throwing an odd number is three time the probability of throwing an even number. If the even number are equally likely to appear, find the probability of rolling either a 3 or a 6.

### probability

A stock market analyst figures the probabilities that two related stocks, A and B, will go up in price. She finds the probability that A will go up to be 0.6 and the probability that both stocks will go up to be 0.4 What should be her estimate of the probability that stock B ...

### Determining Probabilities

When would you expect the experimental probability of an event to be closest to its theoretical probability? When the results of 10 trials were used in calculating the theoretical probability When the results of 10 trials were used in calculating the experimental probability ...

### ap statistics

In hypothesis testing, β is the probability of committing an error of Type II. The power of the test, 1 - β, is then: A. the probability of failing to reject H0. B. the probability of rejecting H0 when HA is true C. the probability of failing to reject H0 when H0 is ...

### Math

Margo and Carrie are trying to go to Idaho for Dawn's wedding. The probability of finding a flight for less than $400 is 1/7. The probability of Carrie making enough money babysitting to pay for her flight is 3/5. The probability of the girls being able to take time off from ...

### probability and statistics

The MSU basketball team is playing OU. If the probability that MSU wins the game is 0.68 and the probability that OU wins is 0.27. 1. Find the probability that MSU or OU wins. 2. Find the Probability that there is a tie.

### Economics/Math

1. Assume that q and z are two random variables that are perfectly positively correlated. q takes the value of 20 with probability 0.5 and the value of zero with probability 0.5, while z takes the value of 10 with probability 0.5 and the value of zero with probability 0.5. ...

### math

The Probability that Jodi makes a basket when playing basketball is .50, Jamal’s probability is .80 and Pat’s is .75. What is the probability that all three make a basket?

### math

The Probability that Jodi makes a basket when playing basketball is .50, Jamal’s probability is .80 and Pat’s is .75. What is the probability that all three make a basket?

### Math - Probability

A developer can buy a piece of property that will produce a profit of $16,000 with probability .7, or a loss of $9000 with probability .3. What is the expected profit?

### Help with compute probability

Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.) Probability

### Math (Combinatorics)

Six boxes labeled 1,2,…,6 are arranged in a line. Seven identical balls are to be placed into the boxes such that for any 1 ≤ k ≤ 6, there are at least k total balls amongst boxes 1,2,…k. How many different placements of the balls into the boxes are possible?

### statistics

15. The probability that a recently offered stock by a technology company will double in value within the next three months is 90%. The conclusion regarding this probability estimate was reached based on the opinion of the experts in the technology field to which this stock ...

### probability maths

Jim rolls a dice twice. The dice is biased so the probability of getting a six is one quarter. WHat is the probability that he gets two sixes

### Math 221 Week3

A probability experiment consists of rolling a 6 sided die. Find the probability of the event below: rolling a number less than 3? The probability is

### probability

hi! how would you figure out a problem where you are given a probability of success for 12 people and you are trying to find the probability of success for 1 person?

### Probability & Statistics

A basketball player shoots free throws and makes them with probability 1/3. What is the probability the player will miss three in a row?

### probability

The probability that patient recovers from a delicate heart operation is 0.9. What is the probability that exactly 5 of the next 7 patients having this operation survive?

### statistics

1)Let X have a normal distribution with mean 6 and standard deviation 3. a) What is the probability that X > 8.7 2)What is the probability that X<0? 3)What is the probability that |X-6| > 1.9 ? I have got so far: P(Z > 0.9) but I do not know where to go from here! ...

### PROBABILITY MATH HELP!!!!! DICE

A die is rolled. Find the probability of the given event. The number showing is an even number; The probability is :

### statistics - probability

A total of 16 mice are sent down a maze, one by one. From previous experience, it is believed that the probability a mouse turns right is .38 a) What is the probability that 8 or fewer turn right? b) What is the probability that 8 or more turn right? c) What is the probability...

### Statistics

Assume that a procedure yields a binomial distribution with n=3 trials and a probability of success of p= 0.90. Use a binomial probability table to find the probability that the number of successes x is exactly 1.

### maths-probability

A family has four children. The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 2 boys?

### Statistics

The probability distribution of number of calls coming to a call center every 15 minute period is shown below. x 5 6 7 8 9 10 11 12 13 p ( x ) 0.02 0.04 0.07 0.08 0.09 0.11 0.12 0.13 0.10 Continued… x 14 15 16 17 18 19 20 p ( x ) 0.07 0.06 0.04 0.03 0.02 0.01 0.01 1. This ...

### math

A bag contains 5 red marbles, 6 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is? What is the probability that exactly two of the ...

### Math

A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? 1 The probability that all the marbles are red is...? 2 What is the probability that exactly two of ...

### statistics

The power of a significance test for a particular value of the parameter is computed to be 0.93. Which statement below is true? a) The probability of committing a Type I error is 0.07. b) The probability of committing a Type I error is 0.93. c) The probability of committing a ...

### combinatorics.

Suppose a manufacturer produces the football as shown below, they want to print one 2014 football World Cup logo and one Brazilian flag on it, note there are only two signs totally. These two signs are printed in two polygons. If we do not consider the position and direction ...

### probability

John has 3 unique coins such that the probability of obtaining a head when the coin is flipped is 1/10, 2/10 and 3/10, respectively. If he flips each of the 3 coins once, the probability that at least 1 heads appears is p. What is the value of 1000p?

### Probability

If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade? a) 3/26 is that correct In one town, 336% of all voters are Democrats. If two voters are randomly selected for a survey find the probability that they are both ...

### math

Suppose the probability that a construction company will be awarded certain contract is .25, the probability that it will be awarded a second contract is .21, and the probability that it will get both contracts is .13. What is the probability that the company will win at least...

### stat

Three coins are tossed, and the number of heads observed is recorded. (Give your answers as fractions.) (a) Find the probability for 0 heads. (b) Find the probability for 1 head. (c) Find the probability for 2 heads. (d) Find the probability for 3 heads.

### Statistics

A total of 16 mice are sent down a maze, one by one. From previous experience, it is believed that the probability a mouse turns right is .38 a) What is the probability that exactly 8 of these 16 mice turn right? b) What is the probability that 8 or fewer turn right? c) What ...