My Math Forum A person has 14 tokens, labelled 1 to 14. Each token has exactly one face called "h".

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 April 5th, 2019, 07:17 AM #1 Newbie   Joined: Apr 2019 From: Sao Paulo Posts: 2 Thanks: 0 A person has 14 tokens, labelled 1 to 14. Each token has exactly one face called "h". A person has 14 tokens, labelled 1 to 14. Each token has exactly one face called "h". When flipped, tokens 1,2,3... to 14 land with...(contd.) probabilities h(1),h(2),h(3)...to h(14), respectively. When the person flips each of the 14 tokens exactly once, the probability that an even number of tokens land heads is exactly 1/2. Must there be a k between 1 & 14 (inclusive), for which h(k)= 1/2 ? Kindly prove it.

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