MathDB

There are n cards on a table numbered from

1

n

, where

n

is an even number. Two people take turns taking away the cards. The first player will always take the card with the largest number on it, but the second player will take a random card. Prove: the probability that the first player takes the card with the number

i

\frac{i-1}{n-1}

C3

Problems(1)