Lionel has a red cube and Tracy has a green cube. To play the game they both roll their cubes at the same time.
• The numbers that show face up when the cubes stop rolling are used to make a fraction.
• The number on the red cube is used for the numerator and the number on the green cube is used for the denominator.
For example, the results shown below would make the fraction 1/2.
• Lionel wins 1 point if the fraction formed has a value less than one.
• Tracy wins 1 point if the fraction has a value greater than one.
• No one gets a point if the fraction is equal to one.
a. Make a list or a table in your Student Answer Booklet of all of the fractions possible from rolling 1 red and 1 green cube. How many total different fractions are there?
b. If Lionel (red cube) rolls a 3, what is the probability that Tracy (green cube) wins 1 point? Show your work or explain how you obtained your answer.
c. Using your table, what is the probability of each player winning a point on a given turn? Do you think this game is fair to both players? Show your work or explain how you obtained your answer.
Based on the data in the table, what is the annual salary of an employee who has just completed 10 years of service with this company?
A. $46,500
B. $45,000
C. $43,500
D. $40,000
A. 3/25
B. 12/25
C. 3/5
D. 6/5