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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.

Number 1 on the cube represents Jim, and number 3 represents Rob.

Even numbers on the cube represent Jim, and odd numbers represent Rob.

Numbers 1, 3, 4, and 5 represent Jim, and numbers 2 and 6 represent Rob.

Odd numbers on the cube represent Jim, and even numbers represent Rob.

Numbers 2 and 3 represent Jim, and numbers 1, 5, 4, and 6 represent Rob.

Respuesta :

The two correct answers are that even numbers represent Jim and odd numbers represent Rob, or odd numbers represent Jim and even numbers represent Rob.
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Simulating the scenario involves making a probabilistic representation of the likelihood of winning by making use of a number cube. Hence, the correct simulations are :

  • Even numbers represent Jim and Odd numbers represent Rob

  • Odd numbers represent Jim and Even numbers represent Rob.

Since it is stated that the players are evenly matched, this means that both players have equal chances of winning as none could be said to be better than the other.

Sample space for a number cube = (1,2,3,4,5,6)

The probability of either of the players winning a set should be equal.

Since the number of odd and even samples in the sample space are the same, then either can be assigned to each player.

  • Probability of odd = 3/6 = 1/2

  • Probability of even = 3/6 = 1/2.

Therefore, Rob and Jim could each be assigned to either the odd or even numbers on the number cube.

Learn more :https://brainly.com/question/18405415

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