General
Roll Two Dice: What Are the Odds the Sum Is 7?
You roll two fair dice. What is the probability that the sum of the two faces equals 7?
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What is the answer to the two-dice sum of 7 probability question?
The probability is 1/6. There are 36 equally likely outcomes when rolling two fair dice, and 6 of them sum to 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). So 6/36 = 1/6.
Why is 7 the most likely sum when rolling two dice?
7 has more combinations than any other total. Six different pairs add up to 7, while sums like 2 or 12 have only one combination each — which is exactly why 7 is the number craps tables are built around.
How many ways can two dice add up to 7?
Exactly 6 ways: (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1). Out of 36 total outcomes, that gives a probability of 1/6.