JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    The probability that a bulb produced by a factory will fuse after 150 days if used is 0.50. What is the probability that out of 5 such bulbs none will fuse after 150 days of use?

    A) \[1-{{(19/20)}^{5}}\]   

    B) \[{{(19/20)}^{5}}\]

    C) \[{{(3/4)}^{5}}\]         

    D) \[90\,{{(1/4)}^{5}}\]

    Correct Answer: B

    Solution :

    [b] Here p=19/20, q=1/20, n=5, r=5. The required probability is \[^{5}{{C}_{5}}{{\left( \frac{19}{20} \right)}^{5}}{{\left( \frac{1}{20} \right)}^{0}}={{\left( \frac{19}{20} \right)}^{5}}\]


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