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Assertion (A): A die is thrown once and the probability of getting an even number is 23. Reason (R): The sample space for even numbers on a die is {2, 4, 6}. - Mathematics

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Question

Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.

Reason (R): The sample space for even numbers on a die is {2, 4, 6}.

Options

  • A is true, R is false.

  • A is false, R is true.

  • Both A and R are true.

  • Both A and R are false.

MCQ

Solution

A is false, R is true.

Explanation:

In assertion, when a dice is thrown the total outcomes = 6

Even numbers = {2, 4, 6} i.e. 3

Required probability = `3/6 = 1/2`

So, assertion is false

In reason part, the even number on a dice is {2, 4, 6}

So, reason is true.

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