Question

A game involves rolling a number cube. You get one point if you roll an even number and negative one point if you roll an odd number. Which statements are true regarding this scenario? Check all that apply. The sample space is {1, 2, 3, 4, 5, 6}. The expected value for the game is 0. The expected value for the game is . The game is fair because the expected value is equal to 0. The game is unfair because the expected value does not equal 0.

Answer 1

Answer: The sample space is {1, 2, 3, 4, 5, 6}.

The expected value for the game is 0.

The game is fair because the expected value is equal to 0.

Step-by-step explanation:

For rolling a dice the sample space = {1, 2, 3, 4, 5, 6}

As there are equal number of odd numbers as well as even numbers and we get one point if we roll an even number and negative one point if you roll an odd number, therefore, the expected value = 0

Therefore, the game is fair because the expected value is equal to 0.

Answer 2

The sample space is {1, 2, 3, 4, 5, 6}: RIGHT
The expected value for the game is 0: RIGHT
The game is fair because the expected value is equal to 0: RIGHT