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Mathematics

If a number is randomly chosen from the numbers 1, 2, 3, 4, …….., 25, then probability of the number to be prime is

  1. 725\dfrac{7}{25}

  2. 925\dfrac{9}{25}

  3. 1125\dfrac{11}{25}

  4. 1325\dfrac{13}{25}

Probability

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Answer

Sample space = {1, 2, 3, ……., 25}, with 25 equally likely outcomes.

Let A be the event that chosen number is prime.

∴ A = {2, 3, 5, 7, 11, 13, 17, 19, 23}.

Hence, the number of favourable outcomes to event A = 9.

∴ P(A) = 925\dfrac{9}{25}.

Hence, Option 2 is the correct option.

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