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.
a) Fill in the table below to create a discrete probability distribution for a player's winnings. Give probabilities as fractions.
X
Lose
Win
P(X)
b) If someone plays this game, what is their expected value?