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The probability of student A passing an exam is 2/7 and that of B passing is 5/7. If these probabilities are independent, what is the probability that only B passes the examination

The probability of student A passing an exam is 2/7 and that of B passing is 5/7. If these probabilities are independent, what is the probability that only B passes the examination Correct Answer 25/49

p1 = P(A) =  2/7

p2 = P(B) =  5/7

∴ q1 = P(A̅ ) = 1 - P(A) = 1 -  2/7 = 5/7,

q2 = P(B̅ ) = 1 - P(B) = 1 -  5/7 = 2/7

P (only B passes) = q1 p2 =  5/7 × 5/7

= 25/49

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