Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?

A. 2/15
B. 3/20
C. 1/10
D. 4/153

6/10 x 2/8 = 3/20

To find the probability that both balls drawn are blue, we need to find the probability of drawing a blue ball from each urn and then multiply these probabilities together.

Let's start with Urn I. There are a total of 10 balls in Urn I (4 green + 6 blue). Since we want to find the probability of drawing a blue ball from Urn I, the probability of drawing a blue ball from Urn I is 6/10, which simplifies to 3/5.

Now let's move on to Urn II. There are a total of 8 balls in Urn II (6 green + 2 blue). The probability of drawing a blue ball from Urn II is 2/8, which simplifies to 1/4.

To find the probability that both balls drawn are blue, we multiply the probabilities together:

(3/5) * (1/4) = 3/20

So, the probability that both balls drawn are blue is 3/20. Therefore, the correct answer is B.