What is the probability of rolling two dice and getting a sum of 7?
To find the probability of rolling two dice and getting a sum of 7, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are a total of 36 possible outcomes when rolling two dice, which can be calculated by multiplying the number of outcomes for each die. Since each die has 6 sides, there are 6 * 6 = 36 possible outcomes.
Now, let's determine the number of favorable outcomes. To get a sum of 7, we need one die to show a number from 1 to 6, and the other die to show a number such that the sum with the first die is 7. We have the following combinations:
(1, 6)
(2, 5)
(3, 4)
(4, 3)
(5, 2)
(6, 1)
So there are 6 favorable outcomes.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = number of favorable outcomes / total number of possible outcomes
Probability = 6 / 36 = 1 / 6 ≈ 0.1667
Hence, the probability of rolling two dice and getting a sum of 7 is approximately 0.1667 or 16.67%.