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!

[Adam Danz]

What's your question?

[Mandip kumar]

P(h) = (1/2)c. c! / (h!.(c-h)!)

Answer 1

[KSSV]

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

[Walter Roberson]

I would use randi(2, 1, 3)