To calculate the probability of getting a sum of 6 when two dice are thrown, we need to determine the number of favorable outcomes (the sum of the two dice is 6) and divide it by the total number of possible outcomes.
Let's consider all the possible outcomes when two dice are thrown. Each die has six faces numbered from 1 to 6, so there are 6 possible outcomes for each die. Since we're throwing two dice, the total number of possible outcomes is 6 * 6 = 36.
Now let's determine the number of favorable outcomes, i.e., the outcomes where the sum of the two dice is 6. There are five possible combinations that yield a sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
Therefore, the number of favorable outcomes is 5.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable outcomes / Total outcomes Probability = 5 / 36
Hence, the probability of getting a sum of 6 when two dice are thrown is approximately 0.1389, or 13.89% (rounded to two decimal places).