Question

What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '5'?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Sample space is 90 numbers, of which , $\frac{90}{3}$ = 30 are multiples of 3. $\frac{90}{5}$= 18 are multiples of 5, of which every 1 out of 3 are multiples of both 3 and 5.

Probability that a two-digit number is a multiple of 3 and not a multiple of 5 = 30-6 = $\frac{24}{90}$= $\frac{4}{15}$