To find the probability that the sum of the numbers on the top of both cubes will be a multiple of 4, we need to determine the favorable outcomes and the total possible outcomes.
Favorable outcomes: The sum of the numbers on the top of both cubes will be a multiple of 4. The possible combinations are (1,3), (3,1), (2,2), (4,4), (2,6), (6,2), (3,5), (5,3), (4,6), (6,4), (5,5), and (6,6), which is a total of 12 outcomes.
Total possible outcomes: Since each cube has 6 possible outcomes (numbers 1 through 6), the total possible outcomes for both cubes is 6 * 6 = 36.
Therefore, the probability is given by favorable outcomes divided by total possible outcomes:
Probability = 12/36 = 1/3 or approximately 0.3333
So, the probability that the sum of the numbers on the top of both cubes will be a multiple of 4 is 1/3 or approximately 0.3333.