More median badugi madness
 

Mark Gritter suggested here that the median badugi might be a bit better than imagined. This sounded logical, and not knowing how to approach the problem mathematically, I wrote a little engine that would deal a badugi hand. It would throw away pat badugis, but if it had a one-card badugi draw, it would pick the best draw (since it often had two) and take one off. When it hit, it recorded the results. The median badugi of this experiment was JT7, down from the QT that I had originally surmised.

caveat: my programming skills are a joke.

Re: More median badugi madness
 

how many random samples? How many opponents? And we are of course assuming each opponent calls to the river?

TT [img]/images/graemlins/club.gif[/img]

Re: More median badugi madness
 

|how many random samples?

84,064; producing 10,001 badugis.

|How many opponents?

None.

|And we are of course assuming each opponent calls to the river?

No. What we have here is one guy getting one 4-card hand. If the 4-card hand is a badugi, he throws it away. If he has a 2-card or 3-card draw for a badugi, he throws it away. If he has a 1-card draw for a badugi, he draw one card. If the drawn card doesn't give him a badugi, he throws the hand away. If the card he draws gives him a badugi, he throws a ball in the air, yells "spud," and writes down the value of the hand. He does this over and over until he has 10001 hands. He then sorts the hands by value, from A234 to TJQK. He looks at the value of hand number 5001. It is JT76. Is that cool, or what?

Re: More median badugi madness
 

Very cool, but if you revised your application a bit it would be a lot more accurate for our needs.

1) Pre-draw Badugis should count
2) Lets say there was 1 million hands played for a decent sample size
3) The computer only draws one to simulate that the computer is up against a pat hand
4) Each Badugi hand is given a ranking number (A234 ranked 1, A235 ranked 2, etc.). This way you can (a) determine the odds of getting a Badugi after the one draw, (b) the median most powerful hand, and (c) the odds of getting the median most powerful hand or better ranked hand.

Obviously I am not a programmer but you get my drift.

TT [img]/images/graemlins/club.gif[/img]