Tickets numbered 1 to 120 are in a bag What is the probability that the ticket drawn has a number wh...........

Quantitative Aptitude ( CCS) Probability

Tickets numbered 1 to 120 are in a bag. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

8/15

5/16

7/15

3/10

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Explanation:

Multiples of 3 up to 120 = 120/3 = 40
Multiples of 5 up to 120 = 120/5 = 24 (take only whole number before the decimal part)
Multiple of 15 (3×5) up to 120 = 120/15 = 8
So total such numbers are = 40 + 24 – 8 = 56
So required probability = 56/120 = 7/15

Hence, option 3 is the correct answer.