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Mathematics

Assertion (A): The probability of getting a prime number, when a die is thrown once, is 23\dfrac{2}{3}.

Reason (R): On the faces of a die, prime numbers are 2, 3, 5.

  1. Assertion (A) is true, but Reason (R) is false.

  2. Assertion (A) is false, but Reason (R) is true.

  3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

  4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Probability

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Answer

On the faces of a die, numbers are 1, 2, 3, 4, 5 and 6. Out of which 2, 3 and 5 are only prime numbers.

∴ Reason (R) is true.

Number of favourable outcomes (of getting prime number) = 3

Number of possible outcomes = 6

P(getting a prime number) = No. of favourable outcomesNo. of possible outcomes=36=12\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{3}{6} = \dfrac{1}{2}

∴ Assertion (A) is false.

∴ Assertion (A) is false, but Reason (R) is true.

Hence, option 2 is the correct option.

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