SOA Exam P Sample Question 405
Study guide: Exam P-1
A monthly state lottery picks five distinct integers from 1 to 30 and selects one of the five to be the bonus number. An entry consists of five distinct integers from 1 to 30 with one of the numbers designated as the bonus number.
Each month there are 100,000 entries. Each entry that matches the five distinct numbers is awarded 50,000. If the bonus number is also matched, an additional 250,000 is awarded to that entry. Nothing is awarded for matching fewer than five numbers.
Calculate the expected payout from the lottery in a month.
- A)
70{,}172 - B)
77{,}190 - C)
84{,}731 - D)
100{,}000 - E)
175{,}431
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