Hamlet, Rosencrantz and Guildenstern are flipping coins. The odd man

wins the coins of the others; if all coins appear alike, no coins change hands. Find the

expected number of throws required to force one man out of the game provided Hamlet

has 14 coins to start with and Rosencrantz and Guildenstern have 6 coins each.

Hint: Look for the expectation in the form Klmn, where l m and n are the numbers of

coins they start with and K depends only on l + m + n the total number of coins.

Please solve clearly