Question

What is the probability of the event that a number chosen from 1 to 50 is a prime number?

Options

• `3/10`

• `1/2`

• `1/4`

• `3/25`

Answer 1

`bb(3/10)`

Explanation:

S = {1, 2,..., 50}

∴ n(S) = 50

Let A be the event of getting a prime number.

∴ A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}

∴ n(A) = 15

∴ `P(A) = (n(A))/(n(S))` 

= `15/50`

= `3/10`