Question

if a die is rolled once then find the probability of getting an odd prime number.

Answer 1

The probability of getting an odd prime number is $\dfrac{1}{3}$.

Step-by-step explanation:

When a die is rolled once,

All possible outcomes are:

1, 2, 3, 4, 5 and 6

Total number of possible outcomes = 6

Let E be the event of getting a odd prime number.

All favourable outcomes are:

3, 5 (Since, 2 is the even prime number)

Number of favourable outcomes = 2

∴ P(E)=$\dfrac{Number of favourable outcomes}{Total number of possible outcomes}$

= $\dfrac{2}{6}$

= $\dfrac{1}{3}$

Thus, the probability of getting an odd prime number is $\dfrac{1}{3}$.