A fair die is rolled three times.

MATHEMATICS · Multi-part · GCSE · Mathematics · Probability · Probability

Problem

A fair die is rolled three times. (i) Determine the probability that no six appears in any of the three rolls. (ii) Hence find the probability that at least one six appears in the three rolls. (iii) Which of the two events, “no six” or “at least one six”, is more likely? Give a brief justification with numerical support.

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