
Ex 13.1
Last updated at Dec. 16, 2024 by Teachoo
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