Scenario: The rules of a roulette game with pockets numbered from 1 to 100 are such that if the ball ends in a pocket with an even number, the player wins $300. However, if the ball ends in a pocket with an odd number, he loses $200.
-Refer to the scenario above.What is the expected value of the game?

Question

Quizplus · Accepted Answer

To find the expected value, we need to calculate the probability of the ball landing on an even number versus an odd number. There are 50 even numbers and 50 odd numbers on the roulette wheel, so the probability of landing on an even number is 0.5, and the probability of landing on an odd number is also 0.5. 
Using the formula for expected value: 
Expected value = (Probability of winning x Amount won) - (Probability of losing x Amount lost)
Expected value = (0.5 x $300) - (0.5 x $200)
Expected value = $150 - $100
Expected value = $50 
Therefore, the best choice is B, as the expected value of the game is positive and the player can expect to win $50 on average per play.

Scenario: the Rules of a Roulette Game with Pockets Numbered