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Miscellaneous
Misc 1 (ii)
Misc 2 (i) Important
Misc 2 (ii) You are here
Misc 3
Misc 4
Misc 5 Important
Misc 6 Important
Misc 7 Important
Misc 8 Important
Misc 9
Misc 10 Important
Misc 11 Important
Misc 12
Misc 13 Important
Misc 14 Important
Misc 15 Important
Misc 16 Important
Misc 17 (MCQ) Important
Misc 18 (MCQ)
Misc 19 (MCQ)
Last updated at Aug. 24, 2021 by Teachoo
Misc 2 A couple has two children, (ii) Find the probability that both children are females, if it is known that the elder child is a femaleHere, S = {(b, b) ,(b, g),(g, b), (g, g)} A We need to find the probability that both children are females, if from that the elder child is a female. Let E : both children are females F : elder child is a female We need to find P(E|F) E : both children are females E = {(g, g)} P(E) = 1/4 F : elder child is a female F = {(g, b), (g, g)} P(F) = 2/4=1/2 Also, E "∩" F = {(g, g)} So, P(E "∩" F) = 1/4 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (1/4)/(1/2) = 1/2