# A Coin Toss Problem

A fair coin is tossed repeatedly and the record of the outcomes is kept.

Now an event E is defined such that tossing of the coin is stopped when the total number of heads obtained so far exceeds the total number of tails by 3. For example, a possible sequence of tosses could look like $$HHTTTHTHHTHH$$ .

What is the probability that the length of such a sequence is at most 10?

The answer is of the form $$\frac{a}{b}$$ , Evaluate $$b-a$$ .

You can try more of my Questions here .

×