Question

A die has 6 faces marked by the given number as shown below:

1

2

3

–1

–2

–3

The die is thrown once. What is the probability of getting a positive number?

Answer 1

Given: A single throw of the die with faces {1, 2, 3, –1, –2, –3}. The sample space size n(S) = 6.

Step-wise calculation:

1. Identify favourable outcomes (positive numbers):

{1, 2, 3} → n(favourable) = 3

2. Probability formula:

P(event) = `"Number of favourable outcomes"/"Total number of outcomes"`

3. Substitute:

P(positive number) = `3/6`

= `1/2`

The probability of getting a positive number is `1/2` which is 0.5 or 50%.