Players \( A \) and \( B \) alternately toss a biased coin, with Ag...

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Players \( A \) and \( B \) alternately toss a biased coin, with Agoing first. A wins if A tosses a Tail before B tosses
\( \mathrm{P} \) a Head; otherwise \( \mathrm{B} \) wins. If the probability of a head is \( \mathrm{p} \), find the value of \( \mathrm{p} \) for which the game is fair

W to both players.
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