Probability and odds are huge factors in Texas hold 'em. Players use odds to determine their actions. The chances of finishing a flush or a straight, the probability of getting an over card, the percentage of times you're going to flop a set to match your pocket pair are all important factors in poker. Knowledge of these statistics is a key to winning. In online games especially with very few (if any) tells, statistical knowledge becomes the main factor when choosing whether to bet, call, or fold.
Pot odds decisions are one of poker's most elementary, yet it is one of the most common mistakes made by amateur players at all levels. You will most likely always find a player who is making bad pot odd decisions or ignoring them entirely, meanwhile paying off the rest of the table!
In Texas Hold 'Em, you commonly use outs and pot odds the most. This is also the starting point for those who want to learn about poker odds. To those out there who "ain't good at countin' much", you better get good because that is how it's done. Outs are defined as a card in the deck that helps you make your hand. At this point it's only simple division.
The numerator (top number) will be the number of outs you have. The denominator (bottom number) is the number of cards left that we haven't seen. The result will be the percentage chance of making one of those outs. Therefore,
the most math you'll be doing will be dividing small numbers by 50 (pre-flop), 47 (after the flop), or 46 (after the turn)
Pot odds are as easy as computing outs. You compare your outs or your chance of winning to the size of the pot. If your chance of winning is significantly better than the ratio of the pot size to a bet, then you have good pot odds. If it's lower, then you have bad pot odds.
For example, say you are in a $5/$10 hold em game with Jack-Ten facing one opponent on the turn. You have an outside straight draw with a board of 2-5-9-Q, and only the river card left to make it. Any 8 or any King will finish this straight for you, so you have 8 outs (four 8's and 4 K's left in the deck) and 46 unseen cards left. 8/46 is almost the same as a 1 in 6 chance of making it.
Your sole opponent bets $10. If you take a $10 bet you could win $200. $200/$10 is 20, so you stand to make 20x more if you call. 1/6 higher than 1/20, so pot odds say that calling wouldn't be a bad idea.
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