Quote:
Originally Posted by VikkeZer
why the probability that he calls with king isnt calculated by:
P(Y has a king)*P(he calls with it)=1/2*(1/(1+t)-1/2)=1/2(1+t)-1/4
?
1/(1+t) - 1/2 isn't the probability that he calls with a king. It's the total number of kings that he needs to call with in order to make the other guy indifferent to bluffing.
#calling hands = #acescalls + #kingscalls = (1/(1+t)) by usual arguments
#acescalls = P(dealt an ace)P(call with an ace) = (1/2)(1) = 1/2
#kingscalls = P(dealt a king)P(calls with a king) = (1/2)(??)
so to find the (??) value - the probability of calling when you are dealt a king - solve these equations. You get that #kingscalls = (1/(1+t))-1/2, and so on back to the original text.