Push or fold chart at 10bb heads-up

The small blind shoves 58.3% of hands at 10 big blinds, and the big blind calls with 37.4%. Those are the equilibrium frequencies for heads-up play with no ante and no prize pool.

  • 58.3%Small blind shoves
  • 37.4%Big blind calls
  • -0.045 bbValue per hand, small blind

Which hands should the small blind shove at 10bb?

At 10bb the small blind shoves 58.3% of hands, 773 of 1,326 combos, and the rest fold without a fight.

In shorthand the shoving range is 22+, A2s+, K2s+, Q2s+, J3s+, T4s+, 95s+, 84s+, 74s+, 64s+, 53s+, 43s, A2o+, K2o+, Q7o+, J8o+, T8o+, 97o+, 87o, 76o. By equity against a random hand, 43s is the lowest-ranked hand that still shoves and Q6o is the highest-ranked hand that folds. 43s mixes between shoving and folding at this stack, which marks the edge of the range: either choice is close to break-even.

Small blind at 10bb: shove chart

Small blind shove chart at 10 big blinds heads-up. Shoves: 22+, A2s+, K2s+, Q2s+, J3s+, T4s+, 95s+, 84s+, 74s+, 64s+, 53s+, 43s, A2o+, K2o+, Q7o+, J8o+, T8o+, 97o+, 87o, 76o.

  • Shove
  • Mixes
  • Fold
  • Under 50% equity

Which hands should the big blind call with at 10bb?

A call at 10bb risks the whole stack, so the big blind needs a hand that holds up against the shoving range. The chart calls with 37.4% of hands (496 combos).

In shorthand the calling range is 22+, A2s+, K2s+, Q7s+, J8s+, T9s, A2o+, K5o+, Q9o+, JTo. By equity against a random hand, 22 is the lowest-ranked hand that still calls and Q6s is the highest-ranked hand that folds. Q6s mixes between calling and folding at this stack, which marks the edge of the range: either choice is close to break-even.

Big blind at 10bb: call chart

Big blind call chart at 10 big blinds heads-up. Calls: 22+, A2s+, K2s+, Q7s+, J8s+, T9s, A2o+, K5o+, Q9o+, JTo.

  • Call
  • Mixes
  • Fold
  • Under 50% equity

Which kinds of hands make up the 10bb ranges?

Pairs, suited hands and offsuit hands thin out at different speeds as the stack grows. The table counts the hands of each kind that act at 10bb, out of the 13 pairs and the 78 suited and 78 offsuit hands, and the share of each kind's specific combos that act once mixed hands are weighted by how often they act.

Hands that act at 10bb, by kind
KindSmall blind shovesShare of combosBig blind callsShare of combos
Pairs13 of 13100.0%13 of 13100.0%
Suited hands63 of 7880.4%32 of 7841.5%
Offsuit hands37 of 7847.4%24 of 7830.8%

Which decisions are closest at 10bb?

A hand's edge is its EV for acting minus the EV of folding, in big blinds. Folding is worth -0.500 for the small blind and -1.000 for the big blind facing a shove. Hands with an edge near zero change their answer first as the stack moves.

The closest small blind decisions at 10bb, in big blinds
HandRank of 169Shove EVFold EVEdgeEquity when calledChart
43s150-0.500-0.500+0.00035.8%Shove
84s129-0.494-0.500+0.00635.7%Shove
Q7o77-0.489-0.500+0.01135.1%Shove
T7o101-0.505-0.500-0.00535.1%Fold
Q6o81-0.510-0.500-0.01034.8%Fold
63s147-0.516-0.500-0.01635.5%Fold
The closest big blind decisions at 10bb, in big blinds
HandRank of 169Call EVFold EVEdgeEquity vs shovesChart
K5o69-0.930-1.000+0.07045.3%Call
Q7s61-0.868-1.000+0.13245.7%Call
J8s65-0.848-1.000+0.15245.8%Call
Q6s67-1.000-1.000+0.00045.0%Fold
J9o70-1.023-1.000-0.02344.9%Fold
Q8o68-1.033-1.000-0.03344.8%Fold

Which seat is ahead at 10bb?

At 10bb the small blind's seat is worth -0.045 big blinds per hand dealt, so the big blind's seat is the better one: it acts last and sees the shove before choosing. The value per hand turned negative at 8bb and has kept falling as stacks deepen. Value per hand dealt counts folds, shoves and calls together, from the start of the hand before the blinds go in.

How does the chart change around 10bb?

Shove and call frequency near 10bb
StackSmall blind shovesBig blind callsSmall blind value per hand
8bb61.9%45.0%-0.004
9bb59.9%40.6%-0.025
10bb58.3%37.4%-0.045
11bb54.5%35.0%-0.065
12bb53.2%33.0%-0.083

Going from 9bb to 10bb, Q6o and T7o leave and 84s joins the small blind's shoving range; Q6s, Q8o, J9o, T8s and K4o leave the big blind's calling range.

The biggest single move for the small blind between 9bb and 10bb is 84s, which goes from shoving 0% of the time to 100%. For the big blind it is T8s, from calling 100% of the time to 0%.

The stack is the effective stack, the smaller of the two, because only that many chips can change hands. At 10bb it is 10 big blinds even if the other player has more.

Where can I check one hand or a different stack?

Pick a hand below to see where it flips, or open the calculator for any hand at any stack from 1 to 20 big blinds. The ICM pages show what changes with prize money.

How was this chart computed?

We solve a chips-only game for two players: small blind 0.5, big blind 1, no ante, equal stacks. Starting hands are the 169 classes, weighted so that shared cards are impossible, and equity comes from counting every five-card board. The solver plays itself with best responses, averages them, and fixes the hands on the edge so they are exactly indifferent. Exploitability is the most the two players could gain together by switching to a best response, in big blinds per hand. At 10bb the published strategies have an exploitability of under 0.000001 big blinds per hand, against a limit of 0.001.

Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.

Questions

What is the push or fold range at 10bb heads-up?
The small blind shoves 22+, A2s+, K2s+, Q2s+, J3s+, T4s+, 95s+, 84s+, 74s+, 64s+, 53s+, 43s, A2o+, K2o+, Q7o+, J8o+, T8o+, 97o+, 87o, 76o, which is 58.3% of hands. The big blind calls 22+, A2s+, K2s+, Q7s+, J8s+, T9s, A2o+, K5o+, Q9o+, JTo, which is 37.4% of hands. Both ranges are for a chips-only game with blinds of 0.5 and 1 and no ante.
Is 43s a shove at 10bb?
43s is one of the closest decisions on the small blind chart. Shoving is worth -0.500 big blinds against -0.500 for folding, so the chart shoves it, and it is rank 150 of 169 by equity against a random hand.
Should the big blind call with Q6s at 10bb?
The chart folds it, narrowly. Calling is worth -1.000 big blinds against -1.000 for folding, and its equity against the shoving range is 45.0%.