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?
(SELECT ALL THAT APLLY - MULTIPLE ANSWERS)
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.
Answers
Given : To find the probability of winning the set, Jim wants to simulate the situation using a number cube.
Each roll represents a game,
To Find : which associations on the cube correctly simulate the situation
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.
Solution:
Dice has numbers from 1 to 6
And each number has equal probability
So Each player should have 3 numbers
A. Number 1 on the cube represents Jim, and number 3 represents Rob.
is not correct as then game on such rolls where ( 2 , 4 , 5 & 6)comes will not result in any one's win )
B. Even numbers on the cube represent Jim, and odd numbers represent Rob. - CORRECT
JIM 2 4 6
ROB 1 3 5
Each has probability to win a game = 3/6 = 1/2
C. Numbers 1, 3, 4, and 5 represent Jim, and numbers 2 and 6 represent Rob. not correct
as Jim 4/6 = 2/3 has higher probability than rob 2/6 = 1/3 to win
D. Odd numbers on the cube represent Jim, and even numbers represent Rob. CORRECT
ROB 2 4 6
JIM 1 3 5
Each has probability to win a game = 3/6 = 1/2
E. Numbers 2 and 3 represent Jim, and numbers 1, 5, 4, and 6 represent Rob.
not correct
as Rob 4/6 = 2/3 has higher probability than Jim 2/6 = 1/3 to win
option B & D are correct
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Answer:
B and D
Step-by-step explanation: I did the assignment trust me