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9709 P53 - Jun 2021 - Q4
3097

Three fair six-sided dice, each with faces marked 1, 2, 3, 4, 5, 6, are thrown at the same time, repeatedly. For a single throw of the three dice, the score is the sum of the numbers on the top faces.

(a) Find the probability that the score is 4 on a single throw of the three dice.

(b) Find the probability that a score of 18 is obtained for the first time on the 5th throw of the three dice.

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