Alg2- Compound Probability

Question

A bag contains 2 red marbles, 4 blue marbles, and 7 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?

Answer 1

If the marbles are drawn WITHOUT replacement, the probability if ₄C₂ / ₁₃C₂.

If WITH replacement, the probability is (4/13)².

Answer 2

P(A ∧ B ) = P(A)*P(B)

P(A) = 4 / 13

P(B) = 3 / 12)

P(A)*P(B) = ?