Final answer:
The probability that the sum of a pair of dice is 4 or 10 is approximately 0.1111.
Step-by-step explanation:
The probability that the sum of a pair of dice is 4 or 10 can be calculated by finding the number of favorable outcomes and dividing it by the total number of possible outcomes. To calculate the probability of getting a sum of 4, we need to find all the possible pairs of numbers that add up to 4. There is only one such pair, which is (1, 3). So, the probability of getting a sum of 4 is 1 out of 36, as there are 36 possible outcomes when rolling two dice (6 faces on each die). Similarly, to calculate the probability of getting a sum of 10, we need to find all the possible pairs of numbers that add up to 10. There are three such pairs, which are (4, 6), (5, 5), and (6, 4). So, the probability of getting a sum of 10 is 3 out of 36. Adding the probabilities together, we get a total probability of 4 out of 36 or approximately 0.1111 (rounded to four decimal places).