Question: 4. (4 points) A fair die will be rolled 10 times. Which of the following expressions gives the probability that no aces will result? Why?

4. (4 points) A fair die will be rolled 10 times. Which of the following expressions gives the probability that no aces will result? Why? (An ace is 1 dot. ) (a) 1 - (5/6)10 (b) (5/6) 10 (c) 1- (1/6)10 (d) (1/6)10 Solution: (b). Because the die is fair, the probability of not getting an ace on a single roll is 5/6. Because the rolls are independent, the probability of not getting an ace for 10 consecutive 18 1 /6 /6\\10
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