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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 = 6
Step 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 —