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

  • question_answer
    Assertion (A): When two coins are tossed simultaneously then the probability of getting no tail is \[\frac{1}{4}\].              
    Reason (R): The probability of getting a head (i.e., no tail) in one toss of a coin is \[\frac{1}{2}\].

    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).
    Probability of getting no tail when two coins tossed simultaneously i.e., both are head.
    Probability of both head \[=\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}\]


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