A community college course in economics requires that students must write two tests. 75% of students pass the first test (A) and 65% pass the second test (B). 55% pass both tests. What is the probability that a randomly selected student will pass exactly one of the two tests? What is the probability that a random student selected will pass the second test (B) if it is known they passed the first test (A)?
Answer)
Lets say we have a sample size of 100
75% pass test A = 75% of 100 = 75
65% pass test B = 65% of 100 = 65
55% pass both the test = 55% of 100 = 55
A)
Probability = favorable / total
Total = 100.favorable = exactly 1 = (75-55) + (65-55) = 30
Required probability is 30/100 = 0.3
B)
What is the probability that a random student selected will pass the second test (B) if it is known they passed the first test (A)?
answer)
Total = it is known that they passed the first test (A) = 75
Favorable = pass the second test B = 55
Required probability is 55/75 = 0.73
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