New your city hair count bet
You are visiting New York City when a man approaches you.
\”Not counting bald people, I bet a hundred bucks that there are two people living in New York City with the same number of hairs on their heads,\” he tells you.
\”I\’ll take that bet!\” you say. You talk to the man for a minute, after which you realize you have lost the bet.
What did the man say to prove his case?
This is a classic example of the pigeonhole principle.
The argument goes as follows:
Assume that every non-bald person in New York City has a different number of hairs on their head. Since there are about 9 million people living in NYC, let’s say 8 million of them aren’t bald.
So, 8 million people need to have different numbers of hairs on their head. But on average, people only have about 100,000 hairs. So even if there was someone with 1 hair, someone with 2 hairs, someone with 3 hairs, and so on, all the way up to someone with 100,000 hairs, there are still 7,900,000 other people who all need different numbers of hairs on their heads, and furthermore, who all need MORE than 100,000 hairs on their head.
You can see that additionally, at least one person would need to have at least 8,000,000 hairs on their head, because there’s no way to have 8,000,000 people all have different numbers of hairs between 1 and 7,999,999. But someone having 8,000,000 is an essential impossibility (as is even having 1,000,000 hairs), So there’s no way this situation could be the case, where everyone has a different number of hairs. Which means that at least two people have the same number of hairs.
shouldn’t the question be like “atleast two people” ? Because according to the above explanation there would be at least two people having same number of hairs not exactly.
Your Answer
More puzzles to try-
Elevator Up or Down
A woman lives in a Tall building thirty-six floors high and served by several elevators which stop at each floor ...Read More »Identical Cats Puzzle
Out of the nine cats that you can see in the picture, there are only two that are completely identical. ...Read More »Spot the wrong in Image
Spot whats is wrong here in the below Image?Read More »GREAT STRATEGY CAN ONLY SAVE LIFE
Three cannibals and three anthropologists have to cross a river. The boat they have is only big enough for two ...Read More »Fariha’s Closing Door Puzzle!
There are five rooms in a row which are numbered as 1,2,3,4,5. One night Fariha was sleeping in one of ...Read More »Donkey’s abnormal legs riddle
A donkey travels the exact same distance daily. Strangely 2 of his legs travels 40 kilometers and the remaining two ...Read More »Hayabusa Distance Puzzle
John was gifted a new Hayabusa. He drove x miles at 55mph. Then he drove x+20 miles at 40mps. He ...Read More »Make The Ice Cream
Where do you go to learn how to make ice cream?Read More »Seven-League Boots
Meanwhile, back at the castle, the ogre found that the boots he had picked at random from his dark storeroom ...Read More »Chemical name of movie riddle
One day I asked my chemistry teacher, What’s your favourite movie? She answered : ” POTASSIUM- ALUMINUM HYDROXIDE SODIUM HYDROXIDE” ...Read More »Product of these consecutive numbers
The product of three consecutive numbers is 7980. Then the sum of these consecutive numbers would be?Read More »Find hidden words in Fishing Picture puzzle
Family is enjoying fishing, why don’t you enjoy by finding some hidden words in this family fishing puzzle. Find 6 ...Read More »Missing wheel riddle
John was in his car when he finds that one of the wheels was missing. John cannot get out of ...Read More »Next in the Series
Find the next number in the series? 2, 12, 36, 80, 150, 252, 392, _ ?Read More »How to find the correct label by checking only one basket
There are three baskets labeled Orange , Apple, Oracle/Apple. And all of them have wrong labels.How to find the correct ...Read More »English Clockwise
If you read clockwise, you can form a word by inserting three missing letters in the picture given below. Can ...Read More »Party time counting puzzle
In a party of 35 people, there are twice as many women as children and twice as many children as ...Read More »How many oranges bought for 100$
A fruit merchant sells 20 oranges for 10$ thereby making profit of 25%. How many oranges did he buy for ...Read More »Find the breakpoint of coconut
You have two coconuts and you want to find out how high they can be dropped from a 100 story ...Read More »Snail in Well riddle
A snail is at the bottom of a well that is 20 meters in depth. Every day the snail climbs ...Read More »