Question

Ms. Sushmita went to a fair and participated in a game. The game consisted of a box having number cards with numbers from 01 to 30. The three prizes were as per the given table:

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:

1. Wall Clock
2. Water Bottle
3. Purse

Answer 1

(a) Total cards = 30

The perfect squares between 1 and 30= 1, 4, 9, 16, 25.

Probability of winning a wall clock = `5/30 = 1/6`

(b) The even numbers that are multiples of 3 between 1 and 30 = 6, 12, 18, 24, 30.

Probability of winning a water bottle = `5/30 = 1/6`

(c) The prime numbers between 1 and 30 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Probability of winning purse = `10/30 = 1/3`