Actuarial Notes

SOA Exam FAM Sample Question 21

Study guide: Exam FAM

At the beginning of each round of a game of chance the player pays 12.5. The player then rolls one die with outcome N. The player then rolls N dice and wins an amount equal to the total of the numbers showing on the N dice. All dice have 6 sides and are fair.

Calculate the probability that a player starting with 15,000 will have at least 15,000 after 1000 rounds using the normal approximation.

  • A) 0.01
  • B) 0.04
  • C) 0.06
  • D) 0.09
  • E) 0.12

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