A standard 6-sided dice is rolled. If you roll an even number you get two points, and if you roll an odd number you lose one point. What is the expected number of
points per roll?

Given:

A standard 6-sided dice is rolled.

If you roll an even number you get two points.

If you roll an odd number you lose one point.

To find:

The expected number of points per roll?

Solution:

If a dice is rolled, then the possible outcomes are 1, 2, 3, 4, 5, 6.

Odd values are 1, 3, 5 and the even values are 2, 4, 6.

The probability of getting an odd number is:

The probability of getting an even number is:

The expected number of points per roll is:

Therefore, the expected number of points per roll is 0.5.

addition

step-by-step explanation: