A perfect-power dice sum
Two fair dice are rolled. What is the probability their sum is either a perfect square or a perfect cube? Give a decimal to four places.
Show hints (2)+
- First list which sums in 2–12 are perfect squares, then which are perfect cubes.
- Count ordered outcomes over 36; the three targets don't overlap.
Answer
Reveal answer →Final answer
0.3333 (± 0.001)
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Asked at: EV & Betting Games, Mixed Quant & Coding