There are 40 coins placed on a table. 20 coins are heads up and rest 20 are tails up mixed randomly. mike puts on a blindfold and decides to create two piles of coins from these 40 coins, such that each set has the same number of coins with heads up and tails up. he can only move or flip the coins as he is unable to see them.how does he create these two groups of coins?
Answers
Mike has to flip all the coins of one of the Pile
Step-by-step explanation:
There are 40 coins placed on a table. 20 coins are heads up and rest 20 are tails up mixed randomly.
Mike Creates two piles each of 20 Coins
Now let Say Pile A has - X Heads
Then Pile A will have 20- X Tails
now in pile B
Number of Head = 20 - X Heads
Number Of Tails = 20 - (20 - X) = X Tails
Heads Tails
Pile A X 20-X
PileB 20-X X
if we just notice that number of Heads & Tails are interchanged in Pile A & B
if Mike flip all coins of one pile then number of Heads & Tails will be exchanged
let say Pile B is Flipped then
20 - X heads will become 20- X tails
& X tails will become X heads
Heads Tails
Pile A X 20-X
PileB X 20-X
Both Piles having same head & same Tail
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