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A fair die is rolled 4 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places.

User Getsoubl
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The probability of rolling a number that is not 1 or 4 on one roll of the die is 2/3, since there are four possible outcomes (1, 2, 3, or 4) and two of them are not desired.

The probability of rolling a number that is not 1 or 4 on all four rolls is (2/3)^4, since the rolls are independent events and the probability of each roll is 2/3.

(2/3)^4 = 0.197

Rounding to three decimal places, the probability of having no 1 and no 4 among the rolls is approximately 0.197.
User Brian Camire
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