I have done some simple flipping coin problems but I am not sure how to solve this one. This is from a review sheet for my final.
In each round of a game, three cards are dealt from the standard deck of $52$ cards. If at least two cards are of the same suit then you get $2$ dollars, otherwise you lose $3$ dollars.
(a) What is the probability of winning one round of this game?
(b) What is the probability of losing one round?
(c) What is the expected gain (or loss if its negative) per round?