Same side four times

What is the probability that a fair coin flipped 44 times shows the same side all four times?

Show hints (2)+
  1. The first flip is free; the next three must match it.
  2. (1/2)3=1/8(1/2)^3 = 1/8 (equivalently 2/162/16 for all-H or all-T).

Answer

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0.125

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Asked at: Optiver, SIG

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