Is a 50/50 raffle a fair game?

During a fundraiser, a group sold 100 tickets at $20 each.From the $2000 earnings, half went to the (only) winner of the raffle and the other half went to the group.Determine the expected value for the cost (or profit) of the game by each ticket holder.Finally, determine if the game is fair.

The cost/profit (negative or positive) of buying a non-winning ticket isX₁=_______(enter and integer with a sign (+ or -))

The probability of purchasing a non-winning ticket isP(X₁) =___________________(enter a decimal with two decimal digits)

The productX*P(X) for the non-winning tickets isX₁*P(X₁) =__________________(enter a decimal with one decimal digit)

The cost/profit (positive or negative) for buying the winning ticketis____________X₂=(enter an integer with a sign + or -)

The probability of purchasing the winning ticket isP(X₂) =________________(enter a decimal with two decimal digits)

The product X*P(X) for the winning ticket isX₂*P(X₂) =____________________(enter a decimal with one decimal digit)

The expected loss/profit of participating in the raffle is E(X) = $_________________

Is the 50/50 raffle a fair game?__________________(write FAIR or NOT FAIR)