One of a Kind

You’re about to roll five regular dice. Which is more likely, rolling no sixes or rolling exactly one six?

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The chance of rolling no sixes is 5/6 × 5/6 × 5/6 × 5/6 × 5/6 The chance of rolling exactly one six is 1/6 × 5/6 × 5/6 × 5/6 × 5/6 … times 5, because the six can appear on any one of the five dice. So the probabilities are equal.