QQuestion
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random. Find the probability that the number on the card drawn is:
(a) a multiple of 5
(b) a perfect square
(c) a prime number.
✓Answer
Total number of possible outcomes = 25.
(a) Multiples of 5 from 1 to 25 are 5, 10, 15, 20 and 25.
Number of favourable outcomes = 5.
⇒ P(multiple of 5) = \frac{5}{25}
⇒ P(multiple of 5) = \frac{1}{5}
(b) Perfect squares from 1 to 25 are 1, 4, 9, 16 and 25.
Number of favourable outcomes = 5.
⇒ P(perfect square) = \frac{5}{25}
⇒ P(perfect square) = \frac{1}{5}
(c) Prime numbers from 1 to 25 are 2, 3, 5, 7, 11, 13, 17, 19 and 23.
Number of favourable outcomes = 9.
⇒ P(prime number) = \frac{9}{25}
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