I have a bag that contains 10 red marbles, 9 green marbles, and 6 blue marbles. I

reach into it and take one marble at random. Keeping that marble, I reach into the
bag again and take a second marble at random.

a. What is the probability that the first marble is green and the second one is blue?

b. What is the probability that the first marble is red given that the second one is red?
Hint: Use Bayes’ Theorem

1 answer

a. P = 9/(10+9+6) = 9/25. green
P = 6/(10+8+6) = 6/24 = 1/4. blue.