In a State run lottery game, players select $3$ numbers from $20$ numbers, $1,2,3,$dots,$20.$ If

the three numbers a player selects match the three numbers picked by the lottery machine, the

payer wins $$50.$ It costs $$2$ to play the game. Show that if a player decides to buy as many

tickets as it takes to play every possible set of three numbers the lottery machine might pick,

the player will only lose money and never beat the odds. Approximately how much money

will the player lose?