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.
c) What is the probability of selecting a purple marble and then a white marble?
c) What is the probability of selecting two white marbles?
c) Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain.
Please help I really don't get this... math is not my best subject :(
in general, the probability of some event
= number of times that event can happen/total number of possible outcomes
so ...
you have 2 white and 7 purple
prob of purple = 7/9
then
prob of white = 2/8 , there are only 8 left since you drew one already.
prob(purple, then white) = (7/9)(2/4) = 7/36
prob(2 whites) = (2/9)(1/8) = 1/36
prob(2 purples) = 7/9(6/8) = 7/12
and of course 7/12 > 1/36
clearly , since you had more purples than whites, the chances of getting purples would be greater than the chances of getting whites.
prob of getting the 5 on the spin = 1/6
prob of getting a pair = 6/36 =1/6
So she has the same chance of winning at either games, makes no difference.
Thank you so much!
The answers switch for every test so don't try to find answers here. But @Reiny is right.
Welcome
Ded yu get it write? (-:/
c) The probability of selecting a purple marble and then a white marble is 14/45.
c) The probability of selecting two white marbles is 1/15.
c) There is a greater chance of selecting two purple marbles in a row. The probability of selecting two purple marbles in a row is 1/15, while the probability of selecting two white marbles in a row is 1/165.
Certainly! Here's a quick summary of the answers:
a) The probability of selecting a purple marble and then a white marble is 14/45.
b) The probability of selecting two white marbles is 1/36.
c) There is a greater chance of selecting two purple marbles in a row. The probability of selecting two purple marbles in a row is 7/12, while the probability of selecting two white marbles in a row is 1/36.