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  When you are first to act with a legitimate poker hand, you have four options. One is to check with the intention of raising if   your opponent bets.

  Another is to come out betting. The third is to check with the intention of calling if your opponent bets. And the   fourth is to check and fold if your opponent bets.

    Check-Raising in First Position

  With very strong hands your options are to try a check-raise or to come out betting. The key factors in deciding   whether to check-raise are:
        1. The chances your opponent will bet if you check.
        2. The chances your opponent will call your raise.

  The second factor is just as important as the first, because if there were no chance your opponent would call your   raise, it would usually be wrong to check since you’d risk not winning even a single bet when your opponent checks   behind you.

  However, all but very tough players will generally call your raise after you have checked and they have put in an initial   bet. They might grumble as they do it, but they’ll do it.

  In limit games the decision to check-raise or come out betting can be determined by a precise formula. To simplify,   we’ll assume you know for sure you have the best hand. First, determine what percentage of time your opponent will   call if you bet.

  That’s one side of the equation. Next determine what percentage of times your opponent will bet if you check but then   fold when you raise.

  Finally, determine what percentage of times your opponent will bet if you check and then call your raise. Now double   this last percentage. If the sum of the last two percentages is greater than the first, it is correct to try a check-raise.

  This formula may sound overly complicated, but it really is not. Let’s say you think there is a 70 percent chance your   opponent will call if you bet.

  But you also think there is a 40 percent chance he will bet if you check and call your raise, thus rewarding you with a   double bet; and perhaps there’s another 10 percent chance he’ll bet if you check but fold when raise.

  Because you’ll win two bets 40 percent of the times that you check, you double that figure to 80 and add the remaining   10 percent chance your opponent will bet and fold when you raise.

  That add up to 90, and is greater than the 70 percent chance that your opponent will call your bet, it is right to

  Another way of looking at the problem is in terms of expectation. Let’s say you bet 100 times, and you check with the   intention of raising 100 times.

  In the former case you’ll win 70 bets; in the latter you’ll win 80 bets when your opponent bets and calls your raise and   10 more when he bets and folds, for a total of 90 bets.

  You win 20 bets more by check-raising, and so check-raising has greater expectation than betting out.most players   do not check-raise enough on the end. They’d rather go for the single bet in the hopes of getting called.

  However, it is worth taking a little chance of losing one bet if there is a good chance of gaining two bets. Since most   poker players will automatically call a raise when you check-raise, you can simplify the above formula.

  In general, you should check with the intention of raising if you believe the chances of your opponent’s betting   when you check are at least half as good as the chances of his calling when you bet.

  Nor should you get discouraged if you occasionally check and your opponent checks behind you. Check-raising is a   long-run gamble like everything else in poker logic.

  If you know you should win two bets in a particular situation more than half as often as you would win one bet, then   you made the right play by checking even if it didn’t happen to work. Sometimes you also gain an added benefit when   a check-raise doesn’t work.

  Since your opponents noticed you checked a good hand once, they may become a little timid about betting behind you   on future hands, thus saving you some bets on second-best hands with which you were planning to call if they bet.

  Check-raising on the end works best against average-to-good players. You should try it less often against weak   players and tough players.

  Weak players tend to call so much on the end when you bet that you have to be pretty certain they will bet for a   check-raise to be profitable.

  If, for example, you are sure your opponent will call if you come out betting, you have to be over 50 percent sure he   will bet if you check before you consider check-raising.

  Even 50 percent isn’t good enough unless you are also sure your opponent will call when you raise (which, of course, a   weak player will most likely do).

  Against tough players you would check-raise less often because tough players tend not to bet as many hands on the   end as they call you with, and they frequently throw away their hands when you raise. Thus, the chances of winning a   double bet with a check-raise decrease.

  There is one major time to deviate from the general check-raise formula, and that is when you think you can win three   bets by betting, getting raised, and then reraising.

  A classic example of such a situation against an average player in seven-card stud occurs when you look like a   straight on board but have a hidden full house, and your opponent may have a flush. You bet your apparent straight,   your opponent raises with his flush, and you lift him out of his seat by reraising.


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