Hawaiian War Casino Game The house and the player each get 5 cards: 10, Jack, Qu

Hawaiian War Casino Game
The house and the player each get 5 cards: 10, Jack, Queen, King and Ace.
So the house and the player each receive 5 cards.
The cost to play is $100.
The house and the player each put down one card face up. The higher value wins. The same card is a tie and is not a win or a loss
For the player to win:
Payouts:
Winning 2 hands: $100 payout (break even)
Winning 3 hands: $200
Winning 4 hands: $300
Losing (winning 0, 1,hands): -$100. What is the probability that the player wins 2 hands, 3 hands or 4 hands?