Final answer:
The probability of getting a sum of 6 or 10 when two dice are rolled is 2 out of 9, since there are 8 successful outcomes out of 36 possible when rolling two six-sided dice.
Step-by-step explanation:
The question asks for the probability of getting a sum of 6 or 10 when two dice are rolled. Since each die has six faces, there are a total of 6 x 6 = 36 possible outcomes when two dice are rolled. To find the probability, we need to count the number of outcomes that result in a sum of 6 or a sum of 10.
The sums that give 6 are: (1,5), (2,4), (3,3), (4,2), (5,1). That's 5 outcomes. The sums that give 10 are: (4,6), (5,5), (6,4). That's 3 more outcomes. So there are a total of 5 + 3 = 8 outcomes that satisfy the condition.
The probability of rolling a sum of 6 or 10 is then the number of successful outcomes divided by the total number of possible outcomes: P(sum of 6 or 10) = 8 / 36 = 2 / 9.