A teacher gave her class two quizzes. 45% of the class passed both quizzes and 60% of the class passed the first quiz. What percent will pass the second quiz given they passed the first quiz?

Answer 1

Let's let the event of passing the first quiz be "A" and the event of passing the second quiz be "B".

We are given P(A and B) = 0.45 and P(A) = 0.60. We're asked to find P(B|A).

Using the formula for conditional probability, we have P(B|A) = P(A and B) / P(A) = 0.45 / 0.60 = 0.75.

Thus, we expect 75% of those who passed the first quiz to also pass the second quiz.