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Smart Maths Bet Puzzle

Smart Maths Bet Puzzle Solution - 10 October

Two friends were betting. One said to the other, “The coin will be flipped twenty times and each time the coin lands on head, I will give you $2 and each time it lands on tale, you will give me $3.” After flipping the coin for twenty times not a single penny was exchanged among them.

How many times did the coin land on heads ?

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Solution

12

Let x be the number of time heads appeared
2x = 3(20-x) --- this is because the amount won and lost was equal
X=12