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Question
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not a perfect square number.
Solution
Total number of outcomes = 30.
Let E3 be the event of getting a number which is not a perfect square number.
Out of these numbers, perfect square numbers are 1, 4, 9, 16 and 25.
Number of favourable outcomes = 30 − 5 = 25
∴ P(getting non-perfect square number) = P(E3) = `("Number of outcomes favourable to" E_3)/"Number of all possible outcomes"`
`=25/30 = 5/6`
Thus, the probability that the number on the card is not a perfect square number is `5/6`.
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