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JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-I

  • question_answer
    In a series of 3 one -day cricket matches between teams A and B of a collage, the probability of team A winning or drawing are 1/3 and 1/6 respectively. If a win, lose or draw gives 2, 0 and 1 point respectively, then what is the probability that team A will score 5 points in the series?

    A) \[\frac{17}{18}\]

    B) \[\frac{11}{12}\]

    C) \[\frac{1}{12}\]

    D) \[\frac{1}{18}\]

    Correct Answer: D

    Solution :

    [d] Req. prob. = P (5 points) = P(two wins and one draw) \[=p(WWD)+P(WDW)+P(DWW)\] \[=\frac{1}{3}\times \frac{1}{3}\times \frac{1}{6}+\frac{1}{3}\times \frac{1}{6}\times \frac{1}{3}+\frac{1}{6}\times \frac{1}{3}\times \frac{1}{3}=\frac{1}{18}\]


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