1. Both Carmen and her brother Michael want to borrow their father’s car on a Friday night. To determine who gets to
use the car, Carmen wants her father to roll a pair of fair dice. If the sum of the two dice is 2, 3, 11, or 12, Carmen
gets to use the car. If the sum of the two dice is 4 or 10, then Michael can use the car. If the sum is any other
number, then the dice will be rolled again. Michael thinks that this is not a fair way to decide. Is he correct?
Explain.

Respuesta :

Answer:

  no; either way the probability is 1/6

Step-by-step explanation:

There are 6 ways to roll a 2, 3, 11, or 12. There are 6 ways to roll a 4 or 10. Either of these two outcomes has a probability of 6/36 = 1/6. Since the probabilities are the same, we conclude the method is fair. Michael is not correct.

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The table below shows the possible outcomes for a roll of a pair of dice.

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