25 independent, fair coins are tossed in a row. What is the expected number of consecutive HH pairs?Details and assumptions

If 6 coin tosses in a row give HHTHHH, the number of consecutive HH pairs is 3.

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- Mar 19th 2013, 07:05 AMgeniusgarvilcalculating heads and tails25 independent, fair coins are tossed in a row. What is the expected number of consecutive HH pairs?
**Details and assumptions**

If 6 coin tosses in a row give HHTHHH, the number of consecutive HH pairs is 3.

- Mar 19th 2013, 08:32 PMchiroRe: calculating heads and tails
Hey geniusgarvil.

Hint: Try defining a new random variable that has events HH as one event and something else as another and take the expectation of that appropriate random variable.