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2. (Total: 8 points) When a fair coin is tossed n times, denote by pn the probability that no run of two consecutive heads appears.

image text in transcribed 2. (Total: 8 points) When a fair coin is tossed n times, denote by pn the probability that no run of two consecutive heads appears. (a) ( 3 points) Write down the values of p1 and p2. (b) ( 5 points) Find a recursion formula of pn for n2 and show that p8=25655

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