### Brain Teasers

# Flip a Coin

A man makes the following proposition to his friend:

"I will let you flip a coin 20 times. Each time the coin lands on heads, I will give you $2.00. However, each time the coin lands on tails, you must give me $3.00."

His friend flips the coin 20 times and the end result is that no money is to change hands.

How many times did the coin land on heads?

"I will let you flip a coin 20 times. Each time the coin lands on heads, I will give you $2.00. However, each time the coin lands on tails, you must give me $3.00."

His friend flips the coin 20 times and the end result is that no money is to change hands.

How many times did the coin land on heads?

### Answer

Since each won and lost an equal amount, the following equation can be used to find the solution: 2x = 3(20-x), where x = number of times heads came up.Solving this results in 5x = 60. Thus, x = 12.

The coin must have landed on heads a total of 12 times in order for no money to exchange hands.

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

## Comments

How dumb would that friend have to be to accept that bet? JK

I liked it, a bit simple, but I liked it.

I liked it, a bit simple, but I liked it.

so easy...well, for some

easy peasy lemon squeezy. i did really like it tho...i always like the ones that i can get right away.

Easy, but that's OK - makes us feel good! KUTGW!

Jun 28, 2006

Anyone know the one about the three people that went to the motel with thirty bucks...the price for the one room was thirty but the manager mentioned that the rooms were on special for $25...been looking for that one as I forget the punchline.

That's teaser #110, dwight

pretty easy, but it was fun!

i liked it, though it took me a sec to figure out

To post a comment, please create an account and sign in.

## Follow Braingle!