The 100 Seat Airplane
People are waiting in line to board a 100-seat airplane. Steve is the first person in the line. He gets on the plane but suddenly can't remember what his seat number is, so he picks a seat at random. After that, each person who gets on the plane sits in their assigned seat if it's available, otherwise they will choose an open seat at random to sit in.
The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?
The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?
Hint: You don't need to use complex math to solve this riddle. Consider these two questions:
What happens if somebody sits in your seat?
What happens if somebody sits in Steve's assigned seat?
The correct answer is 1/2.
The chase that the first person in line takes your seat is equal to the chance that he takes his own seat. If he takes his own seat initially then you have a 100% chance of sitting in your seat, if he takes your seat you have a 0 percent chance. Now after the first person has picked a seat, the second person will enter the plan and, if the first person has sat in his seat, he will pick randomly, and again, the chance that he picks your seat is equal to the chance he picks someone your seat. The motion will continue until someone sits in the first persons seat, at this point the remaining people standing in line which each be able to sit in their own seats. Well how does that probability look in equation form? (2/100) * 50% + (98/100) * ( (2/98) * 50% + (96/98) * ( (2/96) * (50%) +... (2/2) * (50%) ) ) This expansion reduces to 1/2.
An easy way to see this is trying the problem with a 3 or 4 person scenario (pretend its a car). Both scenarios have probabilities of 1/2. Did you answer this riddle correctly?
YES NO
The chase that the first person in line takes your seat is equal to the chance that he takes his own seat. If he takes his own seat initially then you have a 100% chance of sitting in your seat, if he takes your seat you have a 0 percent chance. Now after the first person has picked a seat, the second person will enter the plan and, if the first person has sat in his seat, he will pick randomly, and again, the chance that he picks your seat is equal to the chance he picks someone your seat. The motion will continue until someone sits in the first persons seat, at this point the remaining people standing in line which each be able to sit in their own seats. Well how does that probability look in equation form? (2/100) * 50% + (98/100) * ( (2/98) * 50% + (96/98) * ( (2/96) * (50%) +... (2/2) * (50%) ) ) This expansion reduces to 1/2.
An easy way to see this is trying the problem with a 3 or 4 person scenario (pretend its a car). Both scenarios have probabilities of 1/2. Did you answer this riddle correctly?
YES NO
Dark But Not A Room With Curtains
I'm sometimes dark but I'm not a room with curtains
I sometimes contain peanut butter but I'm not a sandwich
I'm sometimes melted but I'm not an ice cube
I'm sometimes in cookies but I'm not a raisin
I'm sometimes a bar but I'm not made of metal
I'm sometimes a chip but I'm not made of potato
What am I?
I sometimes contain peanut butter but I'm not a sandwich
I'm sometimes melted but I'm not an ice cube
I'm sometimes in cookies but I'm not a raisin
I'm sometimes a bar but I'm not made of metal
I'm sometimes a chip but I'm not made of potato
What am I?
Hint:
Small And Colorful Riddle
I have wings but I'm not a bird
I am small and colorful.
I live in gardens and fields and forests.
I used to be a caterpillar.
I am small and colorful.
I live in gardens and fields and forests.
I used to be a caterpillar.
Hint:
The Long Island Iced Tea
Two guys walk into a bar. They both order the special, Long Island Iced Tea, which is poured from the same pitcher. One of them drinks his drink slowly and one of them drinks it fast. They walk outside and suddenly the guy who drank his Long Island Tea slowly drops to the ground and dies. They order an autospy and find that he died from poison. How could this be if the other guy drank the same tea and didnt even get sick?
Hint:
TTwo guys walk into a bar. They both order the special, Long Island Iced Tea, which is poured from the same pitcher. One of them drinks his drink slowly and one of them drinks it fast. They walk outside and suddenly the guy who drank his Long Island Tea slowly drops to the ground and dies. They order an autospy and find that he died from poison. How could this be if the other guy drank the same tea and didnt even get sick? Did you answer this riddle correctly?
YES NO
YES NO
Almost Hit By A Car Riddle
A man walked home after having been out drinking. He walked down the middle of a deserted country road. There were no streetlights to illuminate the road and there was no moonlight. He was dressed all in black. Suddenly a car that did not have its headlights on came racing down the road. At the last moment, the driver of the car saw the man and swerved to avoid him.
How did he manage to see him?
How did he manage to see him?
Hint:
He was returning home in the middle of the day, so anyone could have seen him. Did you answer this riddle correctly?
YES NO
YES NO
The Odds Of A Boy Riddle
Mr. Smith has two children. If the older child is a boy, what are the odds that the other child is also a boy?
Hint:
Farmer Browns Melons Riddle
Farmer Brown came to town with some watermelons. He sold half of them plus half a melon, and found that he had one whole melon left. How many melons did he take to town?
Hint:
A Complicated Coop Riddle
There was a farmer and he had a problem with his coop (the place where you keep the birds), and he wanted to go check it out. When he got there he noticed that there was a rooster on the barn. Now the barn was shaped with a triangle type top. But suddenly the rooster laid an egg. Which side did it roll on?
Hint:
Poor Mr. Teddy
Poor Mr. Teddy was found dead in his study by Mr. Fiend.
Mr. Fiend recounted his dismal discovery to the police:
I was walking by Mr. Teddys house when I thought I would just pop in for a visit. I noticed his study light was on and I decided to peek in from the outside to see if he was in there. I walked through the snow towards the window, and I had to wipe the condensation off the window to see inside. That is when I saw his body. I kicked in the front door to confirm my suspicions of foul play. I called the police immediately afterward.
The officer immediately arrested Mr. Fiend for the murder of Mr. Teddy.
How did he know Mr. Fiend was lying?
Mr. Fiend recounted his dismal discovery to the police:
I was walking by Mr. Teddys house when I thought I would just pop in for a visit. I noticed his study light was on and I decided to peek in from the outside to see if he was in there. I walked through the snow towards the window, and I had to wipe the condensation off the window to see inside. That is when I saw his body. I kicked in the front door to confirm my suspicions of foul play. I called the police immediately afterward.
The officer immediately arrested Mr. Fiend for the murder of Mr. Teddy.
How did he know Mr. Fiend was lying?
Hint:
Condensation forms on the inside of the window in the winter, not on the outside. So Mr. Fiend could not have wiped it off to discover Mr. Teddys body. Did you answer this riddle correctly?
YES NO
YES NO
Who Was Lying Riddle
There is a man found dead in a circular mansion. The detective interviews the cook, maid, and babysitter. The cook said he couldn't have done it because he was preparing the meal. The maid said she couldn't have done it because she was dusting the corners. The babysitter said she couldn't because she was playing with the children. Who was lying?
Hint:
Cursed As A Baby Riddle
I was cursed as a baby,
Three good faeries took me to the forest,
I returned to the castle where the curse came true,
A handsome prince saved me.
Who could I be?
Three good faeries took me to the forest,
I returned to the castle where the curse came true,
A handsome prince saved me.
Who could I be?
Hint:
Living In China Riddle
I help a human who wants to help her dad,
I give her bad advice walking into camp,
I love doing stuff for my selfish purposes.
Who am I?
Hint:
I Can Speak Any Language Riddle
My stem's planted firmly where I am allotted.
My tail is wavy and my face is quite blotted.
I relay much emotion though flatly I'm spotted,
And I grow half my size whenever I'm dotted.
I can speak any language, yet utter no words.
I'm no seed, yet I am well known among birds.
But I do have a speech impediment:
I can say cage but not page, aged but not wage.
I can say deaf but not red, bed but not sled.
I live on a highway that's structurally sound,
Where you might see my friends accidentally bound.
It has many lanes, and also long lines.
There are lots of sharp turns, but plenty of signs.
I am played but not won, made but not spun.
The key is to measure before you've begun.
What am I?
My tail is wavy and my face is quite blotted.
I relay much emotion though flatly I'm spotted,
And I grow half my size whenever I'm dotted.
I can speak any language, yet utter no words.
I'm no seed, yet I am well known among birds.
But I do have a speech impediment:
I can say cage but not page, aged but not wage.
I can say deaf but not red, bed but not sled.
I live on a highway that's structurally sound,
Where you might see my friends accidentally bound.
It has many lanes, and also long lines.
There are lots of sharp turns, but plenty of signs.
I am played but not won, made but not spun.
The key is to measure before you've begun.
What am I?
Hint:
Shotgun Pete Riddle
Shotgun Pete owned a lot of guns. He left a quarter of them in Death Valley, gave one to each of the three passengers in the stagecoach, and kept half of them with him. How many guns did Pete own?
Hint:
Soldiers On The River
A detachment of soldiers must cross a river. The bridge is broken, the river is deep. What to do? Suddenly the officer-in-charge spots two boys playing in a rowboat by the shore. The boat is so tiny, however, that it can only hold 2 boys or 1 soldier. Still - all the soldiers succeed in crossing the river in the boat. How?
Hint:
First the boys cross the river. One stays ashore while the other brings the boat to the soldiers. A soldier takes the boat back across and the boy that stayed before brings the boat back and picks up the other boy. The boat takes the two boys back and one remains while the other boy returns the boat to the soldiers. This is repeated until all of the soldiers are on the opposite side of the river. Did you answer this riddle correctly?
YES NO
YES NO
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