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Jaquelin Jast

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13y ago

The ways to get a sum of six or fewer are listed below, along with the number of ways you can get each one. The probability of each way is the same: one sixth to the third power, or one 216th.

111: 1

112: 3

113: 3

114: 3

122: 3

123: 6

222: 1

The total number of ways to get a sum of six or less is 20. Each has a 1/216 chance, so the total probability is 20/216 = 5/54. We want the probability of getting greater than six, so we subtract this from one. 1 - 5/54 = 49/54 = 0.907.

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Q: If you roll a dice 3 times add the rolls together what is the probability of getting a sum greater than 6?
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