Question

Jacob makes the following statement: "I have a 60% chance of being selected as the captain of the baseball team and a 20% chance of being elected student body president." What is the probability that Jacob will be selected as the captain of the baseball team and will be elected student body president?

Answer 1

since a and b are independent, the probabily of both occuring is their product ab=12%

Answer 2

Answer: Our required probability is 12%.

Explanation:

Since we have given that

Probability of being selected as the captain of the baseball team= P(A) = 60%

Probability of being selected as elected student body president = P(B) = 20%

We need to find the probability of being selected as the captain of the baseball team and will be elected student body president.

Since both the events A and B are independent events.

So, it becomes,

`P(A\cap B)=P(A)* P(B)=0.6* 0.2=0.12* 100\%=12\%`

Hence, our required probability is 12%.