alleryA die is rolled and a coin is tossed simultaneously. If E = "die shows an even number" and F = "coin shows head", then P(E ∩ F) is
A1/4
B1/6
C1/12
D1/2
Answer & Solution
Correct answer: A. 1/4
1. Die and coin are independent random experiments.
2. P(E) = 3/6 = 1/2 (die shows 2, 4 or 6).
3. P(F) = 1/2 (coin shows head).
4. P(E ∩ F) = P(E) × P(F) = 1/2 × 1/2 = 1/4.
_Source: syllabus Mathematics, Ch 13 "Probability", §13.4_
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