alleryTwo students attempt a question. P(student 1 correct) = 0.6, P(student 2 correct) = 0.5. P(exactly one correct) is
A0.4
B0.7
C0.3
D0.5
Answer & Solution
Correct answer: D. 0.5
1. P(exactly one) = P(A and not B) + P(not A and B).
2. P(A) * (1 - P(B)) = 0.6 * 0.5 = 0.30.
3. (1 - P(A)) * P(B) = 0.4 * 0.5 = 0.20.
4. Sum = 0.30 + 0.20 = 0.50.
_Source: ICAI BoS Foundation Paper 3, Ch 15 'Probability', p.10_
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