A die is rolled. If the outcome is an odd number, what is the probability that it is prime? A. 2/3 B. 3/4

Question

A die is rolled. If the outcome is an odd number, what is the probability that it is prime?

A. \(\frac{2}{3}\)

B. \(\frac{3}{4}\)

C. \(\frac{5}{12}\)

D. None of these

Answer 1

Correct answer is A.

The probability that the outcome which is either, 1, 3 or 5 is prime is

\(=\frac{Favorable\,outcomes}{Total\,outcomes}\)

Favourable outcomes = 3 or 5

Total outcomes = 1, 3, and 5

Thus, probability =

\(\Rightarrow\) \(\frac{2}{3}\)