Coin flip combinations probabilities

I need to write a program what goes as follows:
A fair coin is repeatedly flipped until the last three tosses either show the combination TTH of the combination THH. Here H means that the outcome of a toss is a head and T that it is a tail. What is the probability that the combination TTH occurs before de combination THH?
I hope someone could help me out here...
Thanks alot!

回答(1 个)

You can generate combinations using:
R = [0 1] ; % 0 is T, 1 is H
iwant = zeros([],3) ;
count = 0 ;
i = 0 ;
while count == 0
i = i+1 ;
iwant(i,:) = [R(randperm(2,1)) R(randperm(2,1)) R(randperm(2,1))] ;
if isequal(iwant(i,:),[0 0 1]) || isequal(iwant(i,:),[0 1 1])
count = 1 ;
end
end
iwant

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