Answer:
The sum of two dice can range from 2 to 12. To get a sum of 3, the only possible combinations are (1,2) and (2,1), since there is only one way to get each of those sums.
There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled, since each die has 6 possible outcomes.
Therefore, the probability of rolling a sum of 3 is:
P(D1 + D2 = 3) = number of ways to get a sum of 3 / total number of possible outcomes
P(D1 + D2 = 3) = 2 / 36
Simplifying by dividing both the numerator and denominator by 2, we get:
P(D1 + D2 = 3) = 1 / 18
Therefore, the probability of rolling a sum of 3 with two standard dice is 1/18.
Explanation:
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