Heads given at least one head

A fair coin is flipped three times. Given that at least one flip came up heads, what is the expected number of heads? (to 4 decimals)

Show hints (2)+
  1. Condition: throw out the all-tails outcome, so the denominator is 7/8, not 1.
  2. Numerator = unconditional total heads = 1.5 (the dropped outcome had 0 heads); divide by 7/8.

Answer

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1.7143 (± 0.001)

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Asked at: Game-Based Aptitude, Options Market-Making

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