Two evenly matched tennis players, Jim and Rob, are going to play a set of 8 games. A player must win at least 6 of the 8 games to win the set. To find the probability of winning the set, Jim wants to simulate the situation using a number cube. If each roll represents a game, which associations on the cube correctly simulate the situation? Check all that apply.
Answer
A
Number 1 on the cube represents Jim, and number 3 represents Rob.
B
Even numbers on the cube represent Jim, and odd numbers represent Rob.
C
Numbers 1, 3, 4, and 5 represent Jim, and numbers 2 and 6 represent Rob.
D
Odd numbers on the cube represent Jim, and even numbers represent Rob.
E
Numbers 2 and 3 represent Jim, and numbers 1, 5, 4, and 6 represent Rob.
Explanation
Because the players are evenly matched, each roll should give Jim and Rob the same chance of winning: 3 of the cube’s 6 faces for each player. Choice B assigns the 3 even numbers to Jim and the 3 odd numbers to Rob; choice D reverses those assignments, so both work. Choices C and E give the players unequal numbers of faces, and A does not assign all six faces.
AI-written and checked against the verified answer.