Mathematics
A game of numbers has cards marked with 11, 12, 13, ……, 40. A card is drawn at random. Find the probability that the number on the card drawn is :
(i) a perfect square.
(ii) divisible by 7.
Probability
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Answer
There are 30 cards.
∴ No. of possible outcomes = 30.
(i) Numbers that are perfect square between 11 to 40 are 16, 25, 36.
∴ No. of favourable outcomes = 3
P(that the number on the card is a perfect square)
= .
Hence, the probability that the number on the card is a perfect square = .
(ii) Numbers that are divisible by 7 between 11 to 40 are 14, 21, 28, 35.
∴ No. of favourable outcomes = 4
P(that the number on the card is divisible by 7)
= .
Hence, the probability that the number on the card is divisible by 7 = .
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