In a finance class,the final grade is based on three tests. Historically,the instructor tells the class that the joint probability of scoring As on the first two tests is 0.5. A student assigns a probability of 0.9 that she will get an A on the first test. What is the probability that the student will score an A on the second test given that she scored an A on the first test?
A)0.50
B)0.95
C)0.56
D)0.90

Question

Quizplus · Accepted Answer

The probability of scoring an A on the second test given an A on the first test can be found using the formula for conditional probability: P(A and B) / P(A). Here, P(A and B) is the joint probability of scoring As on both tests (0.5), and P(A) is the probability of scoring an A on the first test (0.9). Thus, the calculation is 0.5 / 0.9 = 0.56.

In a Finance Class,the Final Grade Is Based on Three