Suppose you flip a fair coin repeatedly until you see a Heads followed by another Heads...

Question

Question

Suppose you flip a fair coin repeatedly until you see a Heads followed by another Heads or a Tails followed by another Tails (i.e. until you see the pattern HH or TT).
1. (a)What is the expected number of flips you need to make?
2. (b)Suppose you repeat the above with a weighted coin that has probability of landing Heads equal to p.Show that the expected number of flips you need is 2+p(1−p)/1−p(1−p)

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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