A coin, having probability p of landing heads, is continually flipped until at least one head and
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A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped.
(a) Find the expected number of flips needed.
(b) Find the expected number of flips that land on heads.
(c) Find the expected number of flips that land on tails.
(d) Repeat part
(a) in the case where flipping is continued until a total of at least two heads and one tail have been flipped.
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