Question

What is the probability of the event that a number chosen from 1 to 100 is a prime number ?
(A) 1/5
(B) 6/25
(C) 1/4
(D) 13/50

Answer 1

Answer:

(C) 1/4

Step-by-step explanation:

As per the question,

We know that a prime number is defined as the number which has two factors, one and the number itself.

The prime numbers from 1 to 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, total prime numbers from 1 to 100 = 25

Number of way of choosing prime number = 25C₁ = 25

Number of way of choosing any number = 100C₁ = 100

$Probability = \frac{25}{100}$

$Probability = \frac{1}{4}$

Hence, the probability of the event that a number chosen from 1 to 100 is a prime number $Probability = \frac{1}{4}$.

Therefore, the correct option is (C).

Answer 2

Answer:

the answer is

Step-by-step explanation:

(C) 1/4

Step-by-step explanation:

As per the question,

We know that a prime number is defined as the number which has two factors, one and the number itself.

The prime numbers from 1 to 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, total prime numbers from 1 to 100 = 25

Number of way of choosing prime number = 25C₁ = 25

Number of way of choosing any number = 100C₁ = 100

Probability = \frac{25}{100}Probability=

100

25

Probability = \frac{1}{4}Probability=

4

1

Hence, the probability of the event that a number chosen from 1 to 100 is a prime number Probability = \frac{1}{4}Probability=

4

1

.

Therefore, the correct option is (C).

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