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For example a possible sequence of tosses could look like

A fair coin is tossed repeatedly and the record of the outcomes is kept. Tossing stops the moment 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?

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Mathematics: For example a possible sequence of tosses could look like

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