Ex 13.1, 6 (i) - Chapter 13 Class 12 Probability
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 13.1, 6 Determine P(E|F) A coin is tossed three times, where (i) E : head on third toss , F : heads on first two tossesCoin is tossed three times S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT} E : head on third toss E = {HHH, HTH, THH, TTH} P(E) = 4/8=𝟏/𝟐 F : heads on first two tosses F = {HHH, HHT} P(F) = 2/8=𝟏/𝟒 Also, E ∩ F = {HHH} P (E ∩ F) = 1/8 We need to find P(E|F) P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (1/8 )/(1/4 ) = 1/8×4/1 = 𝟏/𝟐
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