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Ex 13.1, 7 - Chapter 13 Class 12 Probability - Part 3

Ex 13.1, 7 - Chapter 13 Class 12 Probability - Part 4

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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 F: no head appears E: no tail 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 So, P(E ∩ F ) = 0 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = 0/(1/4) = 0 ∴ P(E|F) = 0

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