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Someone is asked to take a number from $1$ to $100$ . Find the probability that it is a prime number.

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15

625

14

150

answer is C.

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Detailed Solution

It is given that the number drawn form

1 − 100

.
Let

A

be an event that the number selected is a prime number.
So, the prime numbers from

1

100

are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Therefore, the number of favorable outcomes is

25

and the total number of outcomes is

100

P (A) = N u m b e r of favourable outcomes T o t a l number of outcomes

= 25100 = 14

The probability that the number is prime is

14

.
Hence, option 3) is correct.

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