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Probability

Question
CBSEENMA12033614

Two coins are tossed once, where
E : no tail appears, F : no head appears
Determine P(E | F).

Solution

Here   S = {HH, HT, TH, TT}
          E : no tail appears
therefore space space space straight E space equals space open curly brackets HH close curly brackets
        straight F colon space no space head space appears
therefore space space space space space straight F space equals space open curly brackets TT close curly brackets
therefore space space space space straight E intersection straight F space equals straight ϕ
therefore space space space space space straight P left parenthesis straight E right parenthesis space equals space 1 fourth comma space space straight P left parenthesis straight F right parenthesis space equals space 1 fourth comma space space space straight P left parenthesis straight E intersection straight F right parenthesis space equals space 0
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 intersection straight F right parenthesis over denominator straight P left parenthesis straight F right parenthesis end fraction space equals fraction numerator 0 over denominator begin display style 1 fourth end style end fraction equals 0

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