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Consider the following problem:

Two people $M$ and $T$ walk over a straight line. The steps they take depend on flipping a coin: They move to the left if the result is head and they move to the right if the result is tail. Person $M$ stops after two consecutive steps to the left. Person $T$ stops after one steps to the left and inmediatly after one step to the right. Find the expected value of steps each person takes before stoping.

I honestly have know idea how to begin solving the exercise. Any help is more than welcome.

user926356
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    If you reformulate, the question you should answer is what is the number of toss taken on average before having 2 heads in a row, and what is the number of toss taken on average before having a head followed by a tail – Mayeul sgc Jun 09 '21 at 02:33

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