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## Homework Statement

A fair coin is continually flipped. What is the probability that the pattern T,H occurs before the pattern H,H, where T and H respectively denote Tail and Head of a coin?

## Homework Equations

Prob. = (n r) (p

^{r})(1-p)

^{n-r}

## The Attempt at a Solution

I am thinking whether the question asks about:

i. prob. of TH vs HT vs TT vs HH

ii. THHHHHHH...or TTHHHHHH... or HTHHHHHH... or HTTHHHHH... or HTTTTTHHH... or ....

If it is the 2nd one, how can we calculate the prob.? It looks like an infinitely long series... or should I let there be n trials? Then I use binomial distribution to find?

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