WesleyGabriel wrote:Poker prob problems/?

After the turn (4th card on the board) find the odds of each, and the size the pot must be to

make a call of a $20 bet.

1. You have a four flush. What is your odds of making your flush?

2. You have two pair. What are the odds of making a full house?

3. You have three of a kind. What are the odds of making a full house or better?

in Vacuum ( knowing no other information , like the range of opponent's hands , any exposed cards etc )

1. whats a four flush ? At turn , there are 3 cards of the same suit and you have like the Ace of that suit ?

If so + assuming your only chance of winning this pot is if the last card is the suit, giving you a flush. There are nine cards that you have not seen out of 46 in the deck (counting from the turn, not the flop) that will give you this flush, so you have about a

9/46 chance to hit on the river. Another way of putting this is that there are 9 cards that will make you win, and

46-9 = 37 cards that will make you lose. The odds are therefore

37 to 9, or just about 4:1. If there is more than four times as much in the pot as it costs you to call, you should continue, since you have a profitable situation!

4 times as much in the pot ? so 4 times $20 would give us $80 . $80 has to be in the pot for it to be a break even call ( its ok to call , its ok to fold)

2) you have two pair , there are 4 more cards that can come out of 46 that can make you your full house.

The assumption made here is that you know your opponent has a flush / straight and the only way to win the pot is to improve to a fullhouse.

so the chances are 4/46 or about 11.5:1

11.5 times as much in the pot ? so 11.5 times $20 would give us $230.

3) you have three of a kind. ( either set - 2 on hand , 1 on board or trips - 1 on hand , 2 on board )

The assumption made here is that you know your opponent has a flush / straight and the only way to win the pot is to improve to a fullhouse.

there are 10 cards that improve your hand to a fullhouse or better.

so the chances are 10/46 or about 4.6:1

4.6 times as much in the pot ? so 4.6 times $20 would give us $92.