At least one 3 and at least one 5

Roll three fair dice. What is the probability that you see at least one 3 and at least one 5 among them? Give a decimal to four places.

Show hints (2)+
  1. Two 'at least one' conditions → inclusion–exclusion on the complements 'no 3' and 'no 5'.
  2. P(no 3 and no 5 on a die) uses 4 safe faces: (4/6)3(4/6)^3.

Answer

Reveal answer →

0.1389 (± 0.005)

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude

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