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Discussion :: Probability

  1. Three unbiased coins are tossed. What is the probability of getting at most two heads?

  2. A.

    \( \frac { 3 } {4}\)

    B.

    \( \frac { 1 } {4}\)

    C.

    \( \frac { 3 } {8}\)

    D.

    \( \frac { 7 } {8}\)

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    Answer : Option D

    Explanation :

    Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

     

    Let E = event of getting at most two heads.

     

    Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

     

     P(E) = \(\frac { n(E) } { n(S)} \) =\( \frac { 7 } {8}\)

     


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