Heads up problem vs blind man....

[lorinda]

The statistics regarding the values of hands heads up vs two random cards got me thinking.

Many here will know the old one about a NL heads up game with no blinds and one player goes all-in blind every hand, what are his opponents chances of winning, and what is his best strategy.

Answer, wait for aces, 84.9% (since a tied pot puts you back where you were)

But what about a more real scenario, Ive kept the numbers limited to make it easier to discuss.

Blinds 1/1, Stack 50/50

One player goes all in blind every hand, what is best strategy for opponent.

Some hands that you might want to play with chances of winning:

AA 84.9
KK 82.1
QQ 79.6
JJ 77.2
TT 74.7
99 71.7
AKs 66.2

The full table can be foundhere

Remember, each time you fold, you effectively have 1% less chance of winning, so the best result will come from the %age of hands you are willing to play crossed with the %chance of winning the pot, and I can't quite figure it out.

What I am pretty sure of is that the result will be a little scary for those who insist that morons should never win.

Lori