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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 perfect square? - 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 perfect square?

Sum
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Solution

Here n(S) = 25

E2 = Number on the card is a perfect square

= {1, 4, 9, 16, 25}

`\implies` n(E2) = 5

∴ P(E2) = `("n"("E"_2))/("n"("S"))`

= `5/25`

= `1/5`

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