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ITAMO
1988 ITAMO
1
1
Part of
1988 ITAMO
Problems
(1)
A tosses a coin n times, and B does n+1 times, n for fair game
Source: ITAMO 1988 p1
2/2/2020
Players
A
A
A
and
B
B
B
play the following game:
A
A
A
tosses a coin
n
n
n
times, and
B
B
B
does
n
+
1
n+1
n
+
1
times. The player who obtains more ”heads” wins; or in the case of equal balances,
A
A
A
is assigned victory. Find the values of
n
n
n
for which this game is fair (i.e. both players have equal chances for victory).
game
combinatorics