Q:

Mrs. Booker's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 8 are purple, 6 are yellow, 6 are green, and the rest are black, what is the probability of drawing 2 purple if the marbles are not replaced after they are picked? Show answer as a percent rounded to nearest hundredth, if necessary. A. 10.24% B. 8.96% C. 9.33% D. 10.67% AWNSER AS SOON AS POSSIBLE I NEED THIS IMMIDEATLY

Accepted Solution

A:
There are 25 marbles in the bag, and 8 of them are purple.
For the first draw, the probability of sticking your hand in the bag
and pulling out a purple marble is 8/25 .

You don't put the first one back in the bag, so now, there are
only 24 marbles in the bag, and 7 of them are purple.
For the 2nd draw, the probability of sticking your hand in the bag
and pulling out a purple marble is 7/24 .

The probability of BOTH things happening is

  (8/25) · (7/24)  =  (56/600)  =  9.33 %