Final answer:
The probability of rolling two dice and getting a sum of 8 is approximately 13.89%.
Step-by-step explanation:
To find the probability of rolling two dice and having a total of 8 dots showing, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are 5 favorable outcomes: (2,6), (3,5), (4,4), (5,3), and (6,2). These are the combinations that yield a sum of 8 when the values of the two dice are added together.
There are 36 total possible outcomes when rolling two dice, as there are 6 possible outcomes for each die.
The probability is then calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes:
Probability of rolling two dice and getting a sum of 8 = 5/36.
Converting this to a percentage and rounding to the nearest hundredth, the probability is approximately 13.89%.