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In a class, 60% pass math and 40% pass English; 25% pass both. Probability student passes math given pass English:

A0.25
B25/40
C0.6
DP(M|E) = 0.25/0.40 = 0.625
Answer & Solution
Correct answer: D. P(M|E) = 0.25/0.40 = 0.625
We have P(M|E) = P(M∩E)/P(E). That is P(M|E) = 0.25/0.40. That is P(M|E) = 0.625. So P(M|E) = 62.5%.
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