sholden
Friday, April 11th, 2008, 10:22 PM
There's 1.5bb in the pot to start with, so opening to >2.5bb results in you winning 1.5bb.
You have about a 70% chance of winning at showdown, since it's >50 the only case we care about is the maximum we can put in and be called (betting less would win us less), which is opening to 2.5. Ignoring ties, you win 5bb 70% of the time, but you put 2bb on top of your small blind, so your profit on average is 5*.7-2 = 1.5bb. Which means both plays have the same result winnings wise.
Since there's actually about a 0.5% chance of a tie (so you are actually less than 70% of winning outright) the bigger raise play is marginally better by a few microcents...
In actual play the bigger raise is significantly better because you will pay less rake (which far outweighs the above calculations), but of course in actual play you don't know your opponents cards or what his action will be