#### Trending Tags

#### Popular Searches

A Dog Had A 3 Puppies Named As Sunday Monday Riddles A Guy Woke Up In The Morning Got Out Of His Bed Because He Was Thirsty He Went Into The Kitchen Where There Was Orange Juice In The Refrigerator And Got It Out And Then Went Into The Cabinet To Riddles A Man Sees A Gold D Riddlesnday Morning His Wife Call The Police Immediately The Police Question The Wife And Staff The Wife Said He Was Asleep A Mother Was Kolled In A Circular House The Kids Were Pkaying With The Dog The Dad Was Watching Football The Maid Was Cleaning The Corners And Th Riddles Bills Riddles Birthday On 11 Riddles For Me Riddles How Did A 10 Year Old Riddles Im Always Wet But Never Dirty I Am A Riddles Mountains And Riddles Right Now Everyone In The World No Matte Riddles Sink In Riddles Snow White Asks The Dwarfs A Question 2 Of Them Are Lying And 3 Can Only Say The Truth Bashful Dopey Lies If Sleepy Is Honest Dopey If Happy Doesnt Lie Then Bashful Or Ridd Riddles What Has A Mouth But Cannot Drink Has A Head But Cannot Think Has A Tongue But Not Along And Sam Are Held But Some Are Hung Riddles Why Did The Elephant Jump Up And Down Because He Riddles

Feel free to use content on this page for your website or blog, we only ask that you reference content back to us. Use the following code to link this page:

Terms · Privacy · Contact
Riddles and Answers © 2020

## 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.

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

## Add Your Riddle Here

Have some tricky riddles of your own? Leave them below for our users to try and solve.