MathDB

A tosses a coin n times, and B does n+1 times, n for fair game

Source: ITAMO 1988 p1

February 2, 2020

gamecombinatorics

Problem Statement

Players

A

and

B

play the following game:

A

tosses a coin

n

times, and

B

does

n+1

times. The player who obtains more ”heads” wins; or in the case of equal balances,

A

is assigned victory. Find the values of

n

for which this game is fair (i.e. both players have equal chances for victory).