10th Class Mathematics Probability Question Bank Assertion And Reason (MCQs) - Probability

  • question_answer
    Assertion (A): The probability of winning a game is \[0.\text{4},\]then the probability of losing it, is\[0.\text{6}\].
    Reason (R): \[P(E)+P(not\,E)=1.\]

    A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

    B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)

    C) Assertion (A) is true but reason (R) is false.

    D) Assertion (A) is false but reason (R) is true.

    Correct Answer: A

    Solution :

    [a] Both assertion  (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
    We have,  \[P(E)=0.4,\]
    where E = event of winning
    \[P(not\,E)=1-P(E)=1-0.4=0.6\]


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