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Easy: A coin and a number cube
When two things happen together, count all the possible outcomes by multiplying: a coin and a number cube give 2 × 6 = 12 outcomes, and two number cubes give 6 × 6 = 36. Then count the outcomes that match the event. The probability is the matching outcomes over all outcomes.
Find each probability. Write it as a fraction in simplest form.
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Each cube has 6 outcomes, so the pair has 6 × 6 = 36 equally likely outcomes. A 6 × 6 table lists them all and makes counting sums easy.
Six of the 36 outcomes add to 7 (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1), more than any other sum, so P(7) = 6/36 = 1/6.
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