A die is rolled and a coin is tossed simultaneously. If E = "die shows…

Question

A 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

Accepted Answer

A. {'text': '1/4', 'label': 'A'}

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: NCERT Class 12 Mathematics, Ch 13 "Probability", §13.4_

Answer

{'text': '1/6', 'label': 'B'}

Answer

{'text': '1/12', 'label': 'C'}

Answer

{'text': '1/2', 'label': 'D'}