Find the probability that a number picked at random from the set(43, 44, 45, ..., 60) is a prime number.

A.

\(\frac{2}{3}\)

B.

\(\frac{1}{3}\)

C.

\(\frac{2}{9}\)

D.

\(\frac{7}{9}\)

Correct answer is C

Prime numbers = (43,47,53,59)

N = (43, 44, 45,..., 60)

The universal set contains 18 numbers.

The prime numbers between 43 and 60 are 4

Probability of picking a prime number = \(\frac{4}{18}\)

= \(\frac{2}{9}\)