QQuestion
Ms. Sushmita went to a fair and participated in a game. A box contained number cards numbered from 01 to 30. The prizes were awarded as follows:
| Prize | Number on the card drawn at random is a |
|---|---|
| Wall clock | Perfect square |
| Water bottle | Even number which is also a multiple of 3 |
| Purse | Prime number |
Find the probability of winning:
(a) a wall clock.
(b) a water bottle.
(c) a purse.
✓Answer
Total number of possible outcomes = 30
(a) Perfect squares from 1 to 30 are 1, 4, 9, 16 and 25.
Number of favourable outcomes = 5
Probability of winning a wall clock = \frac{5}{30} = \frac{1}{6}
(b) Even numbers that are also multiples of 3 are 6, 12, 18, 24 and 30.
Number of favourable outcomes = 5
Probability of winning a water bottle = \frac{5}{30} = \frac{1}{6}
(c) Prime numbers from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
Number of favourable outcomes = 10
Probability of winning a purse = \frac{10}{30} = \frac{1}{3}
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