A city has a game called Pick 4. Each player pays $6 and picks one four-digit number (from 0000 to 9999, 50 there are ten thousand possible choices).

If the number you pick is randomly selected, then you win $2900.

AFill in the table below to create a discrete probability distribution for a player's winnings. Give probabilities as fractions.

X

Lose

Win

P(X)


BIf someone plays this game, what is their expected value?