Question: A student buys a lottery ticket for $2. The prize is a bicycle worth $500. The winning ticket will be chosen at random from 2000

A student buys a lottery ticket for $2. The prize is a bicycle worth $500. The winning ticket will be chosen at random from 2000 tickets that were sold.

(a) What is the probability that the student will win a bicycle?
(b) Determine the student's expected gain.

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