![]() ![]() ![]() Here is the same information in table form: Sum of two (6-sided) dice probabilities Roll a sum of If two dice are thrown together, the odds of getting a seven are the highest at 6/36, followed by six and eight with equal odds of 5/36 (13.89%), then five and nine with odds of 4/36 (11.11%), and so on. It is for two dice rolled simultaneously or one after another (classic 6-sided dice): Two dice probability chartĭoing the calculations for all possible outcomes between two and twelve for the sum of two dice rolls one arrives at the following chart of dice probabilities and dice odds. So we have six chances out of thirty six, meaning the probability of throwing exactly seven is 6/36 = 1/6 = 0.1666 = 16.66%. ![]() A seven can be the sum of (6 and 1), (5 and 2), (4 and 3) for a total of three possible permutations, and then we need to consider them in the other possible way, namely (1 and 6), (2 and 5), (3 and 4), for a total of six permutations. If the question is what is the chance of throwing a seven with two dice, then one should consider all possible permutations in which a seven turns up. It is also the chance of rolling double ones (a.k.a. The chance to roll a twelve is then 1 out of 36 = 1 / 36 = 0.02777 or 2.77%. For example, if the sum of interest is 12, there is just a single dice permutation which results in such a sum - it only happens if both dice thrown roll a six (double sixes, a.k.a. Knowing the sample space means now we need only compute how many possible ways there are for the dice to result in the sum of interest. Calculating two (6-sided) dice probability
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