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Got into an argument during one of my tournys earlier. Blinds were 200/400 i had 6700 chips. The chip leader at the table raises utg to 800, button calls. I have AJs in the small blind and shove, and the chip leader calls with 56 of spades saying afterwards it was the right call mathematically but i disagreed and i stand by it, am i right or wrong here?
The pot was 8k after i shoved, the chip leader had to call about 6k more to win 8k with 56s is it the right call or not? haha
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His 67s has 39% equity against your AJs
So 61% of the time you win and he loses the 5,900 chips it cost to make the call. 39% of the time he wins the pot and profits by 7,900 chips (800 raise + 800 call + 600 blinds + your shove 5700)
61% x -5900 = -3599 chips
39% x +7900 = +3081 chips
So on average his call loses 518 chips. If it's a Bounty Hunter you could argue a head-prize is worth more than 518 chips in which case it's a marginally +ev call.
Obviously he doesn't actually know your exact hole cards before making the call. If he puts you on a wide range that's behind AJs then it becomes less of a mistake.
BTW, there's no point in having arguments at the table whether you think his call is correct or not, poker is supposed to be a fun social game.
Edit:
Villian needs to call 6.1k into a 8.9k pot, so villian needs to be good 40.6% of the time for it to be +EV.
Let's look at OP shoving range:
88+, AJs+, AQo+
OP 69.5% vs 30.4%
As we can see, villian only has 30.4% and has to fold.
Now let's give OP a wider range and see what happens:
Villian: 22+, A2o+, A2s+, KJs+, KQo
OP 62% vs 37.9%
Even with this absurdly wide shoving range, villian still is only 37.9% and cannot call.
and it isn't even maths, we are still at the level of arithmetic here. But let's not forget that this isn't everyone's strong point
and personally think it is a good thing to discuss at the table as one may learn something new
don't tap...........
But when we don't have reads etc we have to put together a rough range of what your 'average joe' would shove cos that's all we can do, and 88+, AJs+ and AQo+ seems about right. Might add in ATs/AJo and 55/66/77 but meh it's all (educated) guesswork readless