Re: AA v KK
Assuming your 1 time in 23 figure is accurate for the chance one of your oppenents has KK when you have AA, this should happen once in 221*23=5083 hands. To figure the chances of a 1 in 5083 event occuring 5 times in 4500 trials you can use the binomial distribution to get your answer. This a handy built-in function in excel:
BINOMDIST(5,4500,(1/5083),FALSE)=.001867
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