A die is rolled once. If it shows an odd number, you win the amount on the die (e.g., if the die shows 1, you get $1). If it shows an even number, you pay the amount on the die.
(a) Find your expected net winnings in this game
(b) If you play this game 10 times, what is the chance you win something at least 3 times? How many wins would you expect?
(c) If you play this game until you win something and then stop, what is the chance you play at least 3 times? How many plays would you expect?