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
Chocolate All Year Long
Hint:
I Move As Fast As You Do
I am a great fitness teacher
Where my feet are replaced by wheels.
I move as fast as you do,
While sometimes faster than you.
Sometimes you ride on my back
To places you can't on huge vehicles,
And feed my legs with air
Then cycle down the road.
I am a?
Where my feet are replaced by wheels.
I move as fast as you do,
While sometimes faster than you.
Sometimes you ride on my back
To places you can't on huge vehicles,
And feed my legs with air
Then cycle down the road.
I am a?
Hint:
A Lions Appetite Riddle
Hint:
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
Chocolate Martini's Riddle
If Mackensey, Alex, Carly, Leslie, Meagan and Charlie like Chocolate Martinis and Pete, Samantha, Trinity, and Victoria do not, then does Quinn like Chocolate Martinis?
Hint:
Quinn does not like Chocolate Martinis because only those with initials from A - M like Chocolate Martinis. Did you answer this riddle correctly?
YES NO
YES NO
20 Apples Riddle
There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?
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
Between The Pages Riddle
Jack tells Jill, "This isn't the $5 bill you left on the the table. I found it between pages 15 and 16 of Harry Potter."
Jill retorts, "You're lying and I can prove it." How did Jill know?
Jill retorts, "You're lying and I can prove it." How did Jill know?
Hint:
Harry Potter, like all other books, has odd-numbered pages on the right. Therefore, pages 15 and 16 are the front and back of a single page, and nothing could have been found between them. Did you answer this riddle correctly?
YES NO
YES NO
It Was Murder Riddle
A body is found at the bottom of a multistory building. Seeing the position of the body it is evident that the person jumped from one of the windows.
A homicide detective is called to look after the case. He goes to the first floor and walks in the room facing the direction in which the body was found. He opens the window in that direction and flips a coin towards the floor.
Then he goes to the second floor and repeats the process. He keeps on doing it till the last floor. Then, when he climbs down, he tells the team that it is a murder not suicide.
How did he come to know that it was a murder?
A homicide detective is called to look after the case. He goes to the first floor and walks in the room facing the direction in which the body was found. He opens the window in that direction and flips a coin towards the floor.
Then he goes to the second floor and repeats the process. He keeps on doing it till the last floor. Then, when he climbs down, he tells the team that it is a murder not suicide.
How did he come to know that it was a murder?
Hint:
At each floor, he did the same task of opening the window and flipping the coin. If it was a suicide, then at least the window at any of the floors must have been left open by the person who jumped off. The situation only suggests that someone pushed him off and then closed the window again. Did you answer this riddle correctly?
YES NO
YES NO
World War 1 Riddle
A grandfather is telling his grandson war stories.
At the end of World War 1, I was awarded for my bravery after saving a group of my men, the grandfather says. You see, we were fighting in northern France and one of our enemies threw a grenade at us. I managed to pick it up and throw it away before it exploded. So right after the war ended, a General gave me a sword, engraved with the words Awarded for Bravery and Valor, A True Hero, World War 1.
The grandson thinks about the story for a minute and then says Grandpa, that story can't be true! How did the grandson know?
At the end of World War 1, I was awarded for my bravery after saving a group of my men, the grandfather says. You see, we were fighting in northern France and one of our enemies threw a grenade at us. I managed to pick it up and throw it away before it exploded. So right after the war ended, a General gave me a sword, engraved with the words Awarded for Bravery and Valor, A True Hero, World War 1.
The grandson thinks about the story for a minute and then says Grandpa, that story can't be true! How did the grandson know?
Hint:
It was the only World War at that time and World War 2 had not started yet. Did you answer this riddle correctly?
YES NO
YES NO
Stolen Apple Riddle
Mrs. Stotch is a fifth grade teacher. One of her students took her apple. Mrs. Stotch has narrowed the suspects down to Billy, Paige, and Tyler. Each of the students give these statements:
Billy: I didnt do it.
Paige: I didnt do it.
Tyler: Paige did it!
Mrs. Stotch knows that only one of the kids is telling the truth. Who is telling the truth and who took the apple?
Billy: I didnt do it.
Paige: I didnt do it.
Tyler: Paige did it!
Mrs. Stotch knows that only one of the kids is telling the truth. Who is telling the truth and who took the apple?
Hint:
Billy did it. Paige is telling the truth so she didnt do it. Tyler is lying so he reinforces that Paige didnt do it. Billy is lying so he did it. Did you answer this riddle correctly?
YES NO
YES NO
Who Committed The Murder Riddle
At the scene of a heinous crime, five suspects, one of whom is the guilty party, are being interrogated by a detective. Each of the suspects gives one statement and it later transpires that just three of these statements are correct.
These are the statements:
Uncle Jack: Uncle Jim committed the murder
Aunt Mary: I did not do it
Cousin Stewart: It was not Cousin Margaret
Uncle Jim: Uncle Jack is lying when he says I did it
Cousin Margaret: Aunt Mary is telling the truth
Who committed the murder?
These are the statements:
Uncle Jack: Uncle Jim committed the murder
Aunt Mary: I did not do it
Cousin Stewart: It was not Cousin Margaret
Uncle Jim: Uncle Jack is lying when he says I did it
Cousin Margaret: Aunt Mary is telling the truth
Who committed the murder?
Hint:
Cousin Margaret. The statements of Aunty Mary, Uncle Jim and cousin Margaret are true. Did you answer this riddle correctly?
YES NO
YES NO
Cabin On The Mountain Riddle
There is a cabin on the side of a mountain. Three people are inside and they are dead. How did they die?
Hint:
They were killed in a plane crash The three people were the pilot, co-pilot, and navigator. They crashed in snow storm. Did you answer this riddle correctly?
YES NO
YES NO
And Abiding Flame Riddle
Once I could kindle fire;
Now I am cold as ice.
I have forgot desire
Buried in earth's blind vise,
Changed wholly, yet the same,
Wild with abiding flame.
I am?
Now I am cold as ice.
I have forgot desire
Buried in earth's blind vise,
Changed wholly, yet the same,
Wild with abiding flame.
I am?
Hint:
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