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

`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`