Flipping Coins Puzzle
There are twenty coins sitting on the table, ten are currently heads and tens are currently tails. You are sitting at the table with a blindfold and gloves on. You are able to feel where the coins are, but are unable to see or feel if they heads or tails. You must create two sets of coins. Each set must have the same number of heads and tails as the other group. You can only move or flip the coins, you are unable to determine their current state.
Being a PuzzleFry marshal how do you create two even groups of coins with the same number of heads and tails in each group?
Create two sets of ten coins. Flip the coins in one of the sets over, and leave the coins in the other set alone. The first set of ten coins will have the same number of heads and tails as the other set of ten coins.
Keep the coins in one group stand up not flipped having both side left and right. That way both groups will have equal heads or tail.
separate out 10 coins randomly lets say that it has x heads so it must have 10-x tails .
As there are 10 tails total the remaining 10 coins will have
10-(10-x) = x tails
and similary they will have 10-x heads .
now flip this 2nd pile ,all tails turn to heads and heads to tail so this pile has
x heads and 10-x tails , just like the first pile
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