Question: A coin with probability p of Heads is flipped n times. The sequence of outcomes can be divided into runs (blocks of H's or

A coin with probability p of Heads is flipped n times. The

A coin with probability p of Heads is flipped n times. The sequence of outcomes can be divided into runs (blocks of H's or blocks of T's), e.g., HHHTTHTTTH becomes HHH|TT|H|TTTT|H, which has 5 runs. Find the expected number of runs. Hint: Start by finding the expected number of tosses (other than the first) where the outcome is different from the previous one.

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