Question

Finding Probabilities of Compound Events
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?

Answer 1

P(first red) = 4/12 = 1/3.
Given a red was drawn, P(second white) = 2/11.
So P(first red and second white) = (1/3)(2/11) = 2/33 ≈ 0.0606.