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Probability of exactly two sixes and of at least one six in four rolls of a fair die

Probability of exactly two sixes and of at least one six in four rolls of a fair die

6 marks

A fair six-sided die is rolled four times. Find the probability that the number of sixes obtained is

  1. exactly two,
  2. at least one.

[6]

Solution:

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Answer:(a) \(\dfrac{25}{216}\) (b) \(\dfrac{671}{1296}\)

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