This is a discussion on maths behind shoving ranges within the online poker forums, in the Tournament Poker section; How do we calculate what % equity we need to shove/call profitably in various spots? Poker Stars $2.28+$0.22 No Limit Hold'em Tournament  t500/t1000 Blinds + 


#1




maths behind shoving ranges
How do we calculate what % equity we need to shove/call profitably in various spots?
View hand 2020341 DeucesCracked Poker Videos (http://www.deucescracked.com/?referrer=converter_phpbb) Hand History Converter (http://www.handconverter.com) Hero (CO): t7437 M = 3.38 BTN: t9387 M = 4.27 SB: t6023 M = 2.74 BB: t13908 M = 6.32 UTG: t14052 M = 6.39 UTG+1: t13616 M = 6.19 MP: t3320 M = 1.51 Pre Flop: (t2200) Hero is CO with XxXx 3 folds, Hero raises to t7337 all in Here I'm shoving to gain roughly 0.30 of my stack, which means that they need to be folding 70% of the time for this to be profitable right? Or should I be thinking that I need 30% equity against their calling range? 
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#5




re: Poker & maths behind shoving ranges
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(.30 of stack) (FREQ OF NOT BEING CALLED) + (equity against calling range)(freq of being called)(pot when called) I just finished a big assignment and probably didnt write that out correctly, but you should be able to understand what I meant. 
#6




You're asking a much bigger question than you realize...
I think you're just trying to ask about your expected value in this spot? For a play to be profitable, your EV must be > 0. But for tournaments it becomes more complicated because chips don't match up with precise monetary value as in cash games, so ICM comes into play. 
#7




Okay, so let's say they're calling: 22+/A8s+/KJo+, fairly nitty but std imo at this BI level. That comes up to a 20% calling range for each, how do I convert that into the frequency that I'm getting called?
@ Scourge, yeah I know about ICM but let's just ignore that for now and just concentrate on cEv. 
#9




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#10




re: Poker & maths behind shoving ranges
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But if each player has a 20% calling frequency, just determine the chance that NONE of the players behind you have a hand to call with, so 80% x 80% x 80% = 51.2%. Which means that at least one of them will call about 48.8% of the time (assuming you have no blockers to any of the cards in their range). 
#11




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