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In a Lottery, You Pay $1 and Pick a Number

question 9

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In a lottery, you pay $1 and pick a number from 000 to 999. If your number comes up, you win $350, which is a profit of $349. If you lose, you lose $1. Your probability of winning is 0.001.
What is the expected value of your profit?


Definitions:

Alternative

Another option or choice available to parties in a situation, often considered when the primary option is not feasible or desirable.

Joint Payee

Involves two or more parties being named on a financial instrument or payment, requiring endorsement or agreement from all named before processing.

Suspended

Temporarily halted or stopped, often with the possibility of being resumed in the future.

Indorsed in Blank

A signature on a negotiable instrument, such as a check or promissory note, without specifying a new owner, making it payable to the bearer.

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