Question

Suppose that you believe that the probability you will get a grade of B or better in Introduction to Finance is .6 and the probability that you will get a grade of B or better in Introduction to Accounting is .5. If these events are independent, what is the probability that you will receive a grade of B or better in both courses?

Answer 1

Answer: Probability that he will receive a grade of B or better in both courses is 0.30.

Explanation:

Since we have given that

Probability that he will get a grade of B or better in introduction to Finance say P(A) = 0.6

Probability that he will get a grade of B or better in introduction to Accounting say P(B) = 0.5

Since A and B are independent events.

We need to find the probability that he will receive a grade of B or better in both the courses.

So, it becomes,

`P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=0.6* 0.5\\\\P(A\cap B)=0.30`

Hence, Probability that he will receive a grade of B or better in both courses is 0.30.