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Everyone keeps referring to algebra as simple. It's simple if you know/understand how to use it. That's the same with every method/question in the world, if you know the answer it's easy, if you don't, it's not so easy.
No, it's simple for those people who made the effort of learning it. People are not born knowing algebra (or how to speak, read and write). Same as the engine for the mechanic: it's simple for him now because he put some effort into learning how to do it.
It's not a formidable task, 13-15 y/o kids learn that in school, so you can too if you want to.
If you don't have basic algebra you can't even pick up a poker book and understand it, so you can't even start learning poker other than by trial and error. That's why it's an essential skill.
 Originally Posted by Cobra_1878
I have no idea how to do any of that.
My best shot would be at the flush draw question.
If somebody has a FD, they have 9 outs. There are 46 unseen cards, so they have a 37:9 shot of making their draw, which is 4.1:1. So I have to bet just over a quarter of my stack to stop him getting the implied odds to call?
That could be a pile of shit but it's my best shot.
You can do better. You have to take into account that there is a pot also.
Start with:
P is the pot size - this is known
S is the stack size (assume villain's and yours are the same) - this is known
B is your bet size - this is unknown because that is what we are looking for
Assume that when you bet, he always calls. Assume a rather pessimistic case scenario where if he misses his flush draw, you always win the pot but you never win more money. If the flush card comes, you will always stack off and loose the rest of your stack.
Now just like in the mathematics of EV thread:
1) list the possible outcomes
2) list the probability of each outcome
3) list what is your profit (or loss) for each outcome
4) from the above, produce the EV equation
5) now you are looking for the bet size B for which you break even, that is the bet size B for which EV=0. So set the equation equal to zero, and solve for B.
edit: answering that if he always calls when you bet, then you should always shove makes sense, but that is not what we are looking for. We are looking for the minimum amount you have to bet to avoid loosing money.
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