JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    8 coins are tossed simultaneously. The probability of getting at least 6 heads is          [AISSE 1985; MNR 1985; MP PET 1994]

    A)                 \[\frac{57}{64}\]  

    B)                 \[\frac{229}{256}\]

    C)                 \[\frac{7}{64}\]    

    D)                 \[\frac{37}{256}\]

    Correct Answer: D

    Solution :

               The required probability                 \[={}^{8}{{C}_{6}}{{\left( \frac{1}{2} \right)}^{6}}.{{\left( \frac{1}{2} \right)}^{2}}+{}^{8}{{C}_{7}}{{\left( \frac{1}{2} \right)}^{7}}.\left( \frac{1}{2} \right)\text{ }+{}^{8}{{C}_{8}}{{\left( \frac{1}{2} \right)}^{8}}=\frac{37}{256}\].


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