Consider an experiment of tossing two fair dice, one black and one red. What is the probability that the number on the black die divides the number on red die?

The total number of outcomes when tossing two dice is 36. For a black die showing 1, there are 6 favorable red outcomes, but to avoid double counting identical pairs, we count the unique sets where the black die divides the red die: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,4), (2,6), (3,3), (3,6), (4,4), (5,5), and (6,6). Counting these sets gives exactly 14 favorable outcomes. By the classical definition of probability, the result is 14/36.

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