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A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number? - Mathematics

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Question

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number?

Sum

Solution

Here n(S) = 25

E3 = Number on the card is prime number.

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

n(E3) = 9

∴ P(E3) = `(n(E_3))/(n(S))`

= `9/25`

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