How can pick odds or even be fair?

Question

A even number plus a even number goes even and a odd number plus a odd number goes even too.

The only chance to get a odd number is a even and an odd.

How it cannot be 2/3 and 1/3 ?

In: Mathematics

Answer 1

There are two scenarios where the game can end with an even and an odd.

Player 1: even, player 2: odd

Player 1: odd, player 2: even

Looking at it another way, let’s say you pick odd. The game will end even if the other player picks odd, and the game will end odd if the other player picks even. So it’s 50:50 if you choose odd.

If you choose even, the game will end even if the other player picks even and will end odd if the other player picks odd, so picking even is also 50:50.