What is the probability of getting a red jelly bean both times if I do this twice?

Question

Suppose I pick a jelly bean at random from a box containing two red and ten blue ones. I record the color and put the jelly bean back in the box.

What is the probability of getting a red jelly bean both times if I do this twice? (Round your answer to three decimal places.)

Answer 1

The probability of getting a red one once is 2/12 = 1/6, because there are two red beans and 12 total.

 

Since you put the jelly bean back after the first pick, the probability is the same the second time.

 

The two picks are independent events, so the probability of getting a red jelly bean BOTH times is 1/6 * 1/6 = 1/36 = 0.028