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:
A Lions Appetite Riddle
Hint:
A Man Was Murdered Riddle
Hint:
Jason is the killer.
The numbers represent the starting letter of the month they stand for in a calendar:
6 June (J)
4 April (A)
9 September (S)
10 October (O)
11 November (N) Did you answer this riddle correctly?
YES NO
The numbers represent the starting letter of the month they stand for in a calendar:
6 June (J)
4 April (A)
9 September (S)
10 October (O)
11 November (N) Did you answer this riddle correctly?
YES NO
Couples Climbing Trip Riddle
A couple went on a climbing trip. But only the husband returned from the vacation and said that his wife slipped off while climbing and died. After investigating, the local sheriff arrested him saying, Your travel agent called. You murdered your wife.
The man did not inform anyone about the trip. So how was the agent so sure that it is a murder?
The man did not inform anyone about the trip. So how was the agent so sure that it is a murder?
Hint:
The man bought only a one way ticket for his wife whereas he bought a two way ticket for himself. He was certain he would return alone. Did you answer this riddle correctly?
YES NO
YES NO
The Scene Of The Crime Riddle
A man murders his wife with a knife in their car. Nobody is around to see this. He throws her out of the car being careful not to leave any fingerprints on her body. Next he throws the knife off of a cliff into a valley where it will never be found and he goes home. An hour later the police call him and tell him that his wife has been murdered and he needs to come to the scene of the crime immediately. As soon as he arrives, he is arrested.
Hint:
The police did not tell him the location of the crime scene but he arrived at the correct place. Did you answer this riddle correctly?
YES NO
YES NO
Feet On A Farm Riddle
Hint:
Just four. His wife has two feet, he has two feet, each chicken has two claws, each horse has four hoofs. 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
The Police Know Riddle
Shauna was killed one Sunday morning. The police know who they are going to arrest from this bit of information:
April was getting the mail
Alyssa was doing laundry
Reggie was cooking
Mark was planting in the garden
Who killed Shauna and how did the police know who to arrest?
April was getting the mail
Alyssa was doing laundry
Reggie was cooking
Mark was planting in the garden
Who killed Shauna and how did the police know who to arrest?
Hint:
April killed Shauna because there is no mail delivery on Sundays. Did you answer this riddle correctly?
YES NO
YES NO
The Lotto And Fighting Riddle
Hint:
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
Murdered On A Sunday Afternoon
Maid: I was fixing the table.
Cook: I was cooking breakfast.
Butler: I was polishing the silverware and the dishes.
Gardener: I was planting tomato seeds.
Wife: I was reading a book.
Who did it?
Hint:
The cook did it. You don't cook breakfast in the afternoon. Did you answer this riddle correctly?
YES NO
YES NO
Mountain Of Love Riddle
There was a man who wanted to prove his love to his wife. So, he climbed the highest mountain, swam the deepest ocean and walked the biggest desert. What do you think his wife said?
Hint:
Breakfast And Tea Riddle
People can sell me, yet I have many clones.
I can bring you laughter between breakfast and tea,
Yet I can also break your heart easily.
I cover the earth like trees of old,
Whose leaves can blind and yet enfold.
Hint:
A book. Authors can speak to you through a book, yet the book makes no sound. Books are sold and have many duplicate copies. A book can bring the reader to tears and laughter, they span the globe and the leaves of a book (a single sheet in a book is called a leaf) can get you wrapped up in the story that youre unaware of whats going on around you. Did you answer this riddle correctly?
YES NO
YES NO
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