A charity organization is selling $5 raffle tickets as part of a fund-raising program. The first prize is a trip to Mexico valued at $3450, and the second prize is a weekend spa package valued at $750. The remaining 20 prizes are $25 gas cards. The number of tickets sold is 6000. Find the expected net gain to the player for one play of the game

Using the expected value of a discrete distribution, it is found that the expected net gain to the player for one play of the game is of -$4.22.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering that there are 6000 tickets, the distribution of net gains is given as follows:

P(X = 3445) = 1/6000.

P(X = 745) = 1/6000.

P(X = 20) = 20/6000.

P(X = -5) = 5978/6000.

Hence, the expected net gain is given by:

[tex]E(X) = \frac{3445 + 745 + 20(20) - 5(5978)}{6000} = -4.22[/tex]

The expected net gain to the player for one play of the game is of -$4.22.

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677