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Probability

Question
CBSEENMA12033613
Wired Faculty App

Two coins are tossed once, where
E : tail appears on one coin,                  F : one coin shows head
Determine P(E | F).

Solution

Here   S = {HH, HT, TH, TT}
           E: tail appears on one coin
therefore space space space space space space straight E space equals space left curly bracket HT comma space space TH right curly bracket space space space space space space space space space space straight F colon space one space coin space shows space head therefore space space space space space space straight F space equals space left curly bracket HT comma space TH right curly bracket therefore space space space space space space straight E intersection straight F space equals space left curly bracket HT comma space TH right curly bracket therefore space space space space space space straight P left parenthesis straight E right parenthesis space equals space 2 over 4 space equals space 1 half comma space space straight P left parenthesis straight F right parenthesis space equals space 2 over 4 space equals space 1 half comma space space straight P left parenthesis straight E intersection straight F right parenthesis space equals 2 over 4 space equals 1 half therefore space space space space space straight P left parenthesis straight E space left enclose straight F right parenthesis space equals space fraction numerator straight P left parenthesis straight E space intersection space straight F right parenthesis over denominator straight P left parenthesis straight F right parenthesis end fraction space equals space fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style end fraction space equals 1

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