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Rainbow [258]
3 years ago
14

In a finance class, the final grade is based on three tests. Historically, the instructor tells the class that the joint probabi

lity 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
Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer:

0.5556 or 55.56%

Step-by-step explanation:

If the probability of getting an A in both tests, P(B), is 0.5, and the probability of getting an A in the first test, P(F), is 0.9, then the probability of getting an A on the second test, P(S) is:

P(B) = P(F)*P(S)\\0.5=0.9* P(S)\\P(S) = 0.5556=55.56\%

Given that a student has scored an A on the first test, the probability that the student will score an A on the second test is 0.5556 or 55.56%

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