First head on an even flip

MediumProbability~4m

Flip a fair coin until the first head appears. What is the probability that the first head occurs on an even-numbered flip? Give a decimal.

Show hints (2)+
  1. Sum a geometric series over even flip numbers.
  2. The ratio between terms is 1/4.

Answer

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0.3333 (± 0.005)

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Asked at: Optiver, IMC

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