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

  • question_answer
    Assertion (A): In a single throw of a die. The probability of getting a number Less than 7 is 1.                      
    Reason (R): The probability of a certain event is 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] Clearly, Reason is true.
    Now, in a single throw of a die, all the possible outcomes are \[\{1,2,3,4,5,6\}\].
    Since, all the numbers are less than 7, then it is a sure event.
    \[\therefore \] The probability of getting a number less than 7 is 1.
    \[\therefore \] Assertion: True; Reason; True and it is the correct explanation of Assertion.


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