Question

A die has 6 faces marked by the given numbers, as shown below.

The die is thrown once. What is the probability of getting

1) a positive integer

2) an integer greater than −3.

3) the smallest integer.

Answer 1

Given that the die has 6 faces marked by the given numbers as below:

Total number of outcomes = 6

1) For getting a positive integer, the favourable outcomes are 1, 2, 3

⇒ Number of favourable outcomes = 3

⇒ Required probability = `3/6 = 1/2`

2) For getting an integer greater than −3, the favourable outcomes are −2, −1, 1, 2, 3

⇒ Number of favourable outcomes = 5

⇒ Required probability = `5/6`

3) For getting the smallest integer, the favourable outcome is −3

⇒Number of  favourable outcomes = 1

⇒ Required probability = `1/6`