Question

A die is thrown once. The probability of getting a prime number is ______.

Options

• `2/3`

• `1/3`

• `1/2`

• `1/6`

Answer 1

A die is thrown once. The probability of getting a prime number is `underlinebb(1/2)`.

Explanation:

In a single throw of a die, the possible outcomes are: 1, 2, 3, 4, 5, 6

Total number of possible outcomes = 6

Let E be the event of getting a prime number.

Then, the favourable outcomes are 2, 3 and 5.

Number of favourable outcomes = 3

∴ Probability of getting a prime number = P(E)

= `("Number of favourable outcomes")/("Number of all possible outcomes")` 

= `3/6` 

= `1/2`