Ex 13.1, 7 Determine P(E|F) Two coins are tossed once, where (ii) E : no tail appears, F : no head appears S = {(H, H), (H, T), (T, H), (T, T)} We need to find the probability that no tail appears, if known that no head appears E: no tail appears F: no head appears We need to find P(E|F) E = {(H, H)} P(E) = 1/4 F = {(T, T)} P(F) = 1/4 Also, E ∩ F = ϕ ∴ P(E ∩ F) = 0 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = 0/(1/4) = 0

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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.