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Last updated at May 29, 2018 by Teachoo
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Example 3 Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number? Ten card numbered 1 to 10 are placed in a box S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let E: Event that the number on the drawn card is even F: Event that the number on the drawn card is more than 3. We need to find P(E|F) Also, E ∩ F = { 4, 6, 8, 10 } So, P(E ∩ F ) = 410 Now, P(E|F) = 𝑃(𝐸 ∩ 𝐹)𝑃(𝐹) = 410 710 = 47 ∴ P(E|F) = 𝟒𝟕
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