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A Box Contains 25 Cards Numbered from 1 to 25. a Card is Drawn at Random from the Bag. Find the Probability that the Number on the Drawn Card is a Prime Number. - Mathematics

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प्रश्न

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is a prime number.

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उत्तर

Let E2 be the event of getting a prime number.

Out of the given numbers, prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and 23.

Number of favourable outcomes = 9

∴ P(getting a prime number) = P(E2) = `("Number of outcomes favourable to" E_2)/"Number of all possible outcomes"`

`= 9/25`

Thus, the probability that the number on the drawn card is a prime number is `9/25`.

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पाठ 15: Probability - Exercise 15B [पृष्ठ ६९६]

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 15 Probability
Exercise 15B | Q 1.2 | पृष्ठ ६९६

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