Ex 13.1, 7 (i) - Chapter 13 Class 12 Probability

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Ex 13.1, 7 Determine P(E|F) Two coins are tossed once, where (i) E : tail appears on one coin, F : one coin shows headTwo coins are tossed once S = {(H, H), (H, T), (T, H), (T, T)} We need to find the probability that tail appears on one coin given that one coin shows head Let E: tail appears on one coin F: one coin shows head We need to find P(E|F) Event E E = {(H, T), (T, H)} P(E) = 2/4=1/2 Event F F = {(H, T), (T, H)} P(F) = 2/4=𝟏/𝟐 Also, E ∩ F = {(H, T), (T, H)} P(E ∩ F) = 2/4=𝟏/𝟐 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (1/2)/(1/2) = 1