MathDB

A deck of

2n

cards numbered from

1

2n

is shuffled and n cards are dealt to

A

and

B

A

and

B

alternately discard a card face up, starting with

A

. The game when the sum of the discards is first divisible by

2n + 1

, and the last person to discard wins. What is the probability that

A

wins if neither player makes a mistake?

Problem Statement