# Probability Analysis

Win in the Top Left

Lose in the Top Right

Lose in the Bottom Left

Win in the Bottom Right

Probability Analysis:

Win in Top Left: ¼ Chance

Win in Bottom Right: ¼ Chance

Lose in Top Right: ¼ Chance

Lose in Bottom Right: ¼ Chance

Identify The Most and Least Likely Outcomes:

The chance of winning and losing are equal in our game.

Identify if the probabilities in your game are independent or dependant, explain how you know.

The probabilities in our game are independent, since you only drop one coin in at a time and you can’t win and lose at the same time, the outcome of one drop will not affect the next drop.

Identify if the probabilities in your game are mutually exclusive or nonmutually exclusive, explain how you know.

The probabilities in our game are mutually exclusive, you cannot win in one quadrant and lose in another at the same time.

Based on your probabilities and outcomes, is your game fair? Explain how you know. Yes, there is a ½ chance of winning and ½ chance of losing, classifying it as a fair game.

Write a paragraph addressing the essential question. We, as designers, can use the probability that we have learned about to ensure fairness in games at amusement parks by assessing the probability of winning and losing in said game. Once we have figured out the probability in an amusement park game, we can use the other knowledge we have learned about in our Math 2 Class this year to ensure that the amusement park game is considered a fair game, (At least a 50% Chance of winning).

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