### Question:

There is a large* pile of coins in a room. Almost all of them are turned heads up,
except just 20 which are turned tails up. You know this, but are wearing a blindfold
and gloves (which cannot be removed) so you have no way of telling which are heads
and which are tails.

The challenge: split the coins into two groups, such that both groups have the same number
of coins which are tails up. How would you achieve this?

*it can be assumed that there are infinitely many coins.

Hint: the piles do not have to be the same size, which makes sense as the original pile is endless!

### Answer: (click to show)

Take any 20 coins from the pile and turn them all over to the opposite face. Now you have
completed the challenge!

This works because:

Of the 20 coins you chose, *x* are tails, where *x* is between 0 and 20. In the large
pile there were originally 20 tails, but now there are 20-*x* tails. You've taken 20-*x*
heads from the large pile, and turned them over to be tails.

So now there are 20-*x* tails up coins in each pile!