Play the following games in the Games Fair:

Three Prize Roller

Word Scramble

For each Games Fair game, answer the following questions:

Create the probability distribution in a table for all the outcomes where X is the random variable representing the number of points awarded.

Communicate how you arrived at the probability of each outcome.

What is the expected value, E(X), for the game? You may include this in your table from the distribution. If the game costs 10 points to play, how much would the player expect to win or lose?

Create the bar graph for the Probability Distribution.

how all games work:

3 dice roller: 10 points cost. 10 points if you roll a 2. 20 points if you roll a 4. 28 points if you roll a 6. 0 points for anything else.

word scamble:

10 point cost

only 1st letter correct: 0 points

only 2nd letter correct: 5

only 3rd letter correct: 10

only 4th letter correct: 15

2 letters including the first: 20 points

2 letters not including the first: win 25

all 4 letters: 40 points