JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probability that an event will fail to happen is 0.05. The probability that the event will take place on 4 consecutive occasions is                                 [Roorkee 1990]

    A)                 0.00000625         

    B)                 0.18543125

    C)                 0.00001875         

    D)                 0.81450625

    Correct Answer: D

    Solution :

               We have \[P(\bar{A})=0.05\Rightarrow P(A)=0.95\]            Hence the probability that the event will take place in 4 consecutive occasions                                                 \[={{\{P(A)\}}^{4}}={{(0.95)}^{4}}=0.81450625\].


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