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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    For the married couple living in Jammu, the probability that a husband will vote in an election is \[0.5\] and the probability that his wife will vote is \[0.4\]. The probability that the husband votes, given that his wife also votes is\[0.7\]. Then, the probability that husband and wife both will vote is

    A)  \[0.28\]             

    B)  \[0.20\]

    C)  \[0.35\]             

    D)  \[0.15\]

    Correct Answer: A

    Solution :

    Given,  \[P\left( \frac{H}{F} \right)=0.7,\,\,P(H)=0.5\] and \[P\,\,(W)=0.4\] \[\therefore \] \[P\left( \frac{H}{W} \right)=\frac{P(H\cap W)}{P(W)}\] \[\therefore \] \[0.7=\frac{P(H\cap W)}{0.4}\] \[\Rightarrow \] \[P(H\cap W)=0.28\]


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