What is the probability of pulling out a yellow marble followed by a blue marble?

Question

You have a box with 6 blue marbles, 7 red marbles, and 2 yellow marbles. You are going to pull out one marble, record its colorput it back in the box and draw another marble. What is the probability of pulling out a yellow marble followed by a blue marble?

Answer 1

p(A and B) = p(A) x p(B)

First draw there are 2 yellow and 15 marbles total. P(yellow) = 2/15 for this event.

Since it is replaced there are still 15 marbles and 6 of them are blue total P(blue) = 6/15 = 2/5

p(A and B) = (2/15)(2/5) = 4/75