A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.

A.

\(\frac{8}{11}\)

B.

\(\frac{3}{11}\)

C.

\(\frac{4}{11}\)

D.

\(\frac{5}{11}\)

Correct answer is B

Total numbers from 40 to 50 inclusive = 11 (40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50).

Prime numbers between 40 and 50 (inclusive) are 41, 43, and 47.

There are 3 prime numbers in this range.

therefore, Pr(prime numbers) = \(\frac{3}{11}\)