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 Originally Posted by Cobra_1878
OK, I understand both points that you have made here. However, I am looking at how you worked out the bet/(bet+pot) and I can't quite fathom how you did it
0 = PF + (1-F)(-B) ~ If I understand properly here, PF is the times we win, (1-F)(-B) is the times we lose?
0 = PF - B + BF ~ So here, equity equals when we win the pot, minus our bet + the times we bet and villain folds?
0 = PF + BF - B ~ This is exactly as above, just in a different order
0 = F(P + B) - B ~ I don't quite understand what has happened here. Our EV = Times villain folds, multiplied? by the pot+bet minus our bet. Why has P+B been placed in brackets?
I can't carry on as I am not even sure I understand what has happened up to this point
Don't worry so much about what it means. You can learn that by following through the thread. I just wanted to show you the example of how the variables can be moved around in a useful way without having to solve for one of them.
PF is the size of the pot times the % of times he folds. This is the EV we get from him folding.
(1-F)(-B) is the amount of time he doesn't fold (1-F), which just means 100% - his fold %, and (-B) means we lose our bet
I might break that particular proof down in a new thread sometime as kind of a beginner's version.
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