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
An Airplane Pilot Riddle
Hint:
The Hijacker Riddle
A man hijacks an airplane transporting both passengers(8 of them) and valuable cargo. After taking the cargo, the man demands nine parachutes, puts one of them on, and jumps, leaving the other eight behind. Why did he want eight?
Hint:
If the officials thought he was jumping with a hostage, they would never risk giving him a faulty parachute. Did you answer this riddle correctly?
YES NO
YES NO
Denver To Australia Riddle
You're the pilot an airplane, traveling from Denver, Colorado to Australia.
The plane is going 652 mph, taking four pit stops and facing severe weather conditions. On the fourth day the plane finally arrives on Australia and everyone on board enjoyed their flight. What is the pilot of the planes name?
The plane is going 652 mph, taking four pit stops and facing severe weather conditions. On the fourth day the plane finally arrives on Australia and everyone on board enjoyed their flight. What is the pilot of the planes name?
Hint:
Your the pilot of the plane! Re-read the first sentence... Did you answer this riddle correctly?
YES NO
YES NO
Every Single Person Riddle
Hint:
The married people are still alive because every SINGLE person dies. Did you answer this riddle correctly?
YES NO
YES NO
Found In A Subway Riddle
I have seats but I'm not a living room
I have an engine but I'm not a car
I'm a mode of transport but I'm not an airplane
I'm sometimes a bullet but I'm not fired out of a gun
I can be found in a subway but Im not a sandwich.
What could I be?
I have an engine but I'm not a car
I'm a mode of transport but I'm not an airplane
I'm sometimes a bullet but I'm not fired out of a gun
I can be found in a subway but Im not a sandwich.
What could I be?
Hint:
Airplane Studies Riddle
Hint:
A Dog And An Airplane Riddle
Hint:
Add Your Riddle Here
Have some tricky riddles of your own? Leave them below for our users to try and solve.