Q14 of 46 Page 1

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.

First find multiples of 4 and 3, which can be found out by multiplying 4 and 3.

We get 4×3 = 12


So now find multiples of 12 directly, we get


12, 24, 36 and 48


⇒ There are 4 multiples of 4 and 3.


And the sample size is 50, as given.


So, the probability of selecting a multiple of 3 and 4 can be given by


P(getting multiples of 3 and 4) = 4/50 = 2/25


Hence, the probability that selected number is a multiple of 3 and 4 is 2/25.


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