There are 150 tickets in a box numbered 1 to 150 What is the probability of choosing a ticket which ...........

Quantitative Aptitude ( CCS) Probability

There are 150 tickets in a box numbered 1 to 150. What is the probability of choosing a ticket which has a number a multiple of 3 or 7?

52/125

53/150

37/150

32/75

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Explanation:

Multiples of 3 up to 150 = 150/3 = 50
Multiples of 7 up to 150 = 150/7 = 21 (take only whole number before the decimal part)
Multiples of 21 (3×7) up to 150 = 150/21 = 7
So total such numbers are = 50 + 21 – 7 = 64
So required probability = 64/150 = 32/75

Hence, option 4 is the correct answer.