A person draws one marble from each bag. Find the probability that both marbles are black.

Question

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles. A person draws one marble from each bag. Find the probability that both marbles are black.

Answer 1

Since the probability of drawing black in each bag are independent of each other, you can just multiply the probability of drawing a black in each bag together.

 

(5/8) * (6/10)

= 30/80

= .375