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Answer:
Required probability is 0.784 .
Step-by-step explanation:
We are given that in a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of the students passed both exams.
Let Probability that the students passed the first exam = P(F) = 0.74
Probability that the students passed the second exam = P(S) = 0.72
Probability that the students passed both exams = = 0.58
Now, if the student passed the first exam, probability that he passed the second exam is given by the conditional probability of P(S/F) ;
As we know that conditional probability, P(A/B) =
Similarly, P(S/F) = =
{As
is same as
}
= = 0.784
Therefore, probability that he passed the second exam is 0.784 .