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kingstalker
03-09-2004, 08:08 PM
In Omaha What are the odds in a ten handed game that at least one player has A-A or K-K?

tubbster
03-10-2004, 05:48 PM
I was really bored so I did a Monte Carlo simulation to figure this out.
I get that the probability is about 0.44. The code is pasted below(MATLAB).
function P = OmahaAK(reps, numpeople)

A = [1 -1 zeros(1,11)];
A = [A ;A ;A ;A];
P=0;
NumP=0;
for i=1:reps
r1= ceil(rand*52);
r2=ceil(rand*52);

temp = A(r1);
A(r1)=A(r2);
A(r2)=temp;

NZ = sum(A~=0);
NZ = NZ(1:numpeople);

S = sum(A);
S = S(1:numpeople);

OnlyPair = (abs(S) == 2) & (NZ==2);
MorePair = (NZ>=3);

Pair = OnlyPair | MorePair;

P = P+ (sum(Pair) ~=0);

end
P = P/reps;