Statistics- What is the probability that the experiment requires exactly 7 tosses

| March 30, 2017

Question
Tose a fair coin, until the thrid time it comes up heads. Total number of coin toses is recorded. For example, if I obtain the results TTHHTTH, i record the number 7.

1. What is the probability that the experiment requires exactly 7 tosses?

2. What is the probability observing the exact sequence TTHHTH, given that the experiment required seven tosses?

3. What is the probability that the experiment requires at least 8 tosses?

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