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Calculate the probability of rolling two dice and getting the sum of 7. Please write your answer in decimal form and round to the ten thousandths.

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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

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