Hansel makes the following statement:

Question

"I have an 80% chance of being selected as the captain of the baseball team and a 10% chance of being elected student body president."

What is the probability that Hansel will be selected as the captain of the baseball team and will be elected student body president? (5 points)

Answer 1

The probability of two independent events both happening is found by multiplying the probabilities of each event.

So, the probability of Hansel being selected as captain of the baseball team and being elected student body president is:

0.80 (probability of being selected as captain of the baseball team) * 0.10 (probability of being elected student body president) = 0.08

Therefore, the probability that Hansel will be selected as the captain of the baseball team and elected student body president is 0.08 or 8%.