Question

A bag contains 10 marbles: 4 are green, 3 are yellow, and 3 are red. You pick one marble, but do not put it back. Then, you pick a second marble. What is the chance of picking a green marble first and a yellow marble second?
A. 2/15
B. 1/15
C. 7/10
D. 3/25

Answer 1

First draw: P(green) = 4/10 = 2/5.
Second draw (without replacement): P(yellow | green first) = 3/9 = 1/3.
Multiply: (2/5)*(1/3) = 2/15.

Answer: A.