Question

The probability of you getting accepted to your preferred college and receive a scholarship is 13/25, The probability that you get accepted to your preferred college is 18/25. What is the probability that you receive a scholarship, given that you are accepted to your preferred college?

Answer 1

We can use the formula for conditional probability to solve this problem:

P(Scholarship | Accepted) = P(Scholarship and Accepted) / P(Accepted)

We know that P(Accepted) = 18/25 and P(Scholarship and Accepted) = 13/25 (from the given information). Therefore:

P(Scholarship | Accepted) = (13/25) / (18/25) = 13/18 or approximately 0.722

So the probability that you receive a scholarship, given that you are accepted to your preferred college, is about 0.722 or 72.2%.

Explanation: