In a lottery game, a player pays $1 and picks six numbers from 1 to 29. This gives 475020 possible ways of choosing six numbers, and just one winning combination. If the player matches all six numbers, they win the jackpot of $50,000, which is $49,999 dollars that they take home after subtracting the $1 ticket cost. Otherwise, they lose $1. What is the expected value of this game?
