Flipping Coin Puzzle

July 31, 2020

Coin Puzzle 1

You are blindfolded and 10 coins are place in front of you on table. You are allowed to touch the coins, but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which.
Can you make two piles of coins each with the same number of heads up? You can flip the coins any number of times.
You are blindfolded and 10 coins are place in front of you on table. You are allowed to touch the coins, but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which

Solution

Case 1: Taking 2 piles of Coins
  • Pile 1 = P1
  • Pile 2 = P2
            
           P1 = HTTTT
           P2 = HHHHT

We have make both pile with equal no. of heads

Now determining the number of Heads in both the Piles

  • P1 = 1 Head
  • P2 = 4 Heads
            
           P1 = HTTTT
           P2 = HHHHT

We have make both pile with equal no. of heads

After Flipping Pile 1

Number of Heads now in Pile 1,

  • P1 = 4 Head

Number of Heads in Pile  2,

  • P2 = 4 Heads
            
           P1 = THHHH

           P2 = HHHHT

After Flipping Pile 1

Conclusion:

Number of Heads now in Pile 1,

  • P1 = 4 Head

Number of Heads in Pile  2,

  • P2 = 4 Heads

Number of Heads in Pile 1 is equal to no. of heads in Pile 2

            
           P1 = THHHH

           P2 = HHHHT

P1 = P2 = 4 Heads