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, 2006

Combinatorics Difficulty 3.0 AMC 10/12 Prove it Canada

If $a$ is chosen randomly from the set $\{1, 2, 3, 4, 5\}$ and $b$ is chosen randomly from the set $\{6, 7, 8\}$ , what is the probability that $a^b$ is an even number?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.