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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.