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What are the odds of rolling five ones with five dice?

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There are 7776 possible results with 5 dice; 6^5 or 6*6*6*6*6. Only one of these throws will result in all ones so the odds are 1 in 7776. An interesting side problem is, what are the odds that you won't throw a 1 with 5 dice (or any other specific number)? The answer is (5^5)/(6^5); 3125/7776 or 0.40188. This also indicates that you will throw at least one 1 4651/7776 times or 0.59812. (Almost 60 percent of the time you will throw at least one 1.)

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First answer by Lisa lind. Last edit by Tcyk. Contributor trust: 15 [recommend contributor]. Question popularity: 29 [recommend question]

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