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Q.

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

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a

125

b

225

c

725

d

925

answer is B.

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Detailed Solution

As it is given that a number is selected at random from the first 50 natural numbers.
Let us find the probability that it is multiple of 3 and 4.
The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.

P (E) = n o . of favorable outcomes total number of outcomes

Let

E

be the event of getting a multiple of 3 and 4 from the numbers 1 to 50.
Multiples of 3 and 4 up to 50 are 12, 24, 36 and 48.
No of favourable outcomes

= 4

Total number of possible outcomes

= 50

Therefore,

P (E) = n o . of favorable outcomes total number of outcomes P (E) = 450 P (E) = 225

Therefore, probability of getting a multiple of 3 and 4 is

225

.
Hence, the option 2 is correct.

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