Final answer:
The probability of rolling two dice and getting a sum of 7 is 1/6, which converts to approximately 0.1667 when rounded to the ten thousandths place.
Step-by-step explanation:
To calculate the probability of rolling two dice and getting a sum of 7, we need to look at all the possible outcomes (sample space) and identify which ones add up to 7.
There are 6 faces on each die, leading to a total of 6 x 6 = 36 possible combinations when two dice are rolled. The pairs that add up to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), making a total of 6 combinations.
To find the probability, we divide the number of successful outcomes by the total number of possible outcomes:
P(sum of 7) = Number of successful outcomes / Total number of possible outcomes = 6 / 36 = 1/6
Converting this to decimal form and rounding to the ten thousandths place, we get:
P(sum of 7) ≈ 0.1667