What is the probability that a number selected randomly from whole numbers 1 to 20 is a multiple of 5?

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GIVEN:

Given numbers = 1 to 150

FORMULA USED:
P = Favorable outcomes/Total outcomes

CALCULATION:
Number of multiples of 3 from 1 to 150 = 150/3 = 50

Number of multiples of 5 from 1 to 150 = 150/5 = 30

Common multiples of 3 and 5 = multiples of 15 (L.C.M of 3, 5)

⇒ 150/15 = 10

Favorable outcomes = 50 + 30 - 10 = 70

Required P = 70/150 = 7/15

∴ The probability is 7/15.

If a number is a multiple of a and b, then it is also a multiple of L.C.M of a and b.

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Question

The correct answer is:

We use the classical approach to calculate the probability of the said event.According to the classical approach, Explanations:Step 1 of 2:Given scenario, the no. of ways selecting a piece of paper, at random, from the hat is 20.∴ # all possible events = 20From the nos. 1 to 20, the nos., multiple of 3, are 3, 6, 9, 12, 15, 18.So, the no. of ways selecting a paper which is a multiple of 3 is 6 .∴ # favourable events = 6Step 2 of 2:Here, the is selecting a piece of paper, at random from the hat having the number on it, is a multiple of 3.Hence, the probability of the said is given by,Final Answer:The right choice is —