Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 10

Study guide: Exam MAS-I

Ann and Beatrice are playing a game with multiple rounds:

  • At the end of each round, the loser pays 1 coin to the winner
  • Each player begins with 5 coins and plays until one of them has no coins remaining
  • Beatrice is more experienced at the game, and her probability of winning each round is 0.75
  • Each round is independent

Calculate the probability that Beatrice has no coins remaining at the end of the game.

  • A) Less than 0.01
  • B) At least 0.01, but less than 0.03
  • C) At least 0.03, but less than 0.05
  • D) At least 0.05, but less than 0.07
  • E) At least 0.07

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