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Now that you know you should have bet more, let's see how much you should have bet:
Personally, I like to play sets like AA or KK on boards like this. Board like this, meaning that QJ or 78 or two hearts have 8-9 (not considering straight flush) outs on you to make their straight or flush. Let's say for this example that they had AXhearts, and have 9 outs. This means that they will hit one of their 9 cards approx. 36% of the time by the river, or 18% of the time by the turn.
What you need to do, is have them call bets that make it too expensive for them to chase the flush. The best way to do this on the flop is to bet the pot ($0.80). Your opponent would then call and invest $0.80 into the now $1.60 pot. His investment = 33% because 0.8/2.4 = 1/3. Here, he is getting good POT odds assuming you check the turn AND river. He is getting good odds here because his 33% investment is lower than the 36% of hitting his flush.
It gets easier and simpler to explain and bet on the turn, because there are less streets to consider. Let's say a club came on the turn, and it's your turn to bet into the $2.40 pot. He is still on a flush draw, with 9 outs to hurt you = 18% chance of him winning. In order to outbet his draw here assuming pot odds, you need his turn investment to be greater than 18%.
****A really important point to consider here however, are implied odds, I'll get to this after the turn.****
So, to outbet the draw, bet 50% of the pot. You bet $0.8 to make the pot $3.60. He needs to now invest $1.20 into a $3.60 pot. His investment is: 1.2/4.8 = 25%. Great! Now he is calling 25% when he will only win 18% of the time.
This is an example of outbetting your opponents pot odds. To do this however, is to NOT PUT ANYMORE $$ INTO THE POT once you think they have hit their draw ( a heart in this example ). But there is a big difference between pot odds, and implied odds.
My definition of implied odds: The expected final pot size in relation to drawing odds. Or, once we hit out draw, can we put even MORE $$ into the pot?
In the example above, our opponent invested 25% on the turn. This would be a good investment if he can win more than 4 times(100%) of his turn investment. In order to do this, he would have to bet on the river, or have us bet for him.
In order for us to eliminate these implied odds on the turn, we need to make another substantial bet to outbet our opponents draw. So, the pot is $2.40. Bet 2/3 of the pot ($1.60), to make the pot $4.00. His investment would now have to be $1.60 into a $4.00 pot, or 1.6/5.6 = 35%. This is only a justifiable call if he can profit about 3 times of this investment, 1/3 of the time. However, implied odds (more money being put into the river) state that our opponent can make this a profitable play if he can get more out of us if he hits his heart.
I know I didn't do the greatest job at explaining the implied odds situation, so someone please take over. I hope magneticskull gets my point for the most part. Any mathematical corrections would be appreciated.
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