Two equally strong tennis players, A and B, bet
euros and play one set: the player
that wins six games first wins and receives the pot of
euro. They agree on no tie-breaks
or ‘two-point difference’ rule. After the seventh game, the score is
and player A has the
advantage. At that moment a thunderstorm breaks out and the players stop playing.
Suppose both players agree on playing some (possibly random) number M of extra ‘independent’ games in which either player has a
% chance to win. Let
= P(A wins the set).
Show mathematically that if M is chosen in the sense that the game stops as soon as
one player wins the set, then
.
that wins six games first wins and receives the pot of
or ‘two-point difference’ rule. After the seventh game, the score is
advantage. At that moment a thunderstorm breaks out and the players stop playing.
Suppose both players agree on playing some (possibly random) number M of extra ‘independent’ games in which either player has a
Show mathematically that if M is chosen in the sense that the game stops as soon as
one player wins the set, then
