Calculate a dice-event probability and apply a binomial model over repeated games.

Calculate a dice-event probability and apply a binomial model over repeated games.

5 marks
ProbabilityQuestionBank.pdf

Jan plays a game where she tosses two fair six-sided dice. She wins a prize if the sum of her scores is \(5\).

  1. Jan tosses the two dice once. Find the probability that she wins a prize.[3]
  2. Jan tosses the two dice \(8\) times. Find the probability that she wins \(3\) prizes.

    [2]

Solution:

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Answer:For eight tosses, \(P(X=3)=\binom83(\frac19)^3(\frac89)^5=0.04263\).

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