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The best way to do this is to note that this is 1 minus the probability of obtaining a sum less than 6.

The probability of obtaining a 2 is 1/36 (both dice get 1)

The probability of obtaining a 3 is 1/18 (one dice gets 1, the other gets 2, or the other way around)

The probability of obtaining a 4 is 1/12 (both dice get 2, or one dice gets 1 and the other 3, or the other way around)

The probability of obtaining a 5 is 1/9 (one dice gets 2 and the other 3, or the other way around, or one dice gets 1 and the other 4, or the other way around)

Adding these probabilities up gives 5/18. 1 minus this is 13/18

Thus the probability of obtaining a sum of at least 6 when rolling a pair of dice is 13/18.

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13y ago

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