Question

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

Answer 1

Find the probability of picking one of the colors. Since there is no replacement, the probability for the second would have a divisor of n-1 and the third would have n-2. The probability of all events occurring is found by multiplying the probabilities ofthe individual events.

I hope this helps. Thanks for asking.