A fair four-sided die, where each face is represented by a different digit between 1 and 4, is rolled 5 times.What is the probability of rolling 5 ones in a row? (1/4)5 (1/4) * 5 (3/4)5 5 * (3/4) * (1/4)4 5 * (1/4) * (3/4)4
Question
A fair four-sided die, where each face is represented by a different digit between 1 and 4, is rolled 5 times.What is the probability of rolling 5 ones in a row? (1/4)5 (1/4) * 5 (3/4)5 5 * (3/4) * (1/4)4 5 * (1/4) * (3/4)4
Solution
The probability of rolling a one on a fair four-sided die is 1/4. Since each roll is an independent event, the probability of rolling five ones in a row is (1/4)^5 = 1/1024.
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