What if all the passengers on a plane jumped at once?

If everyone on the plane jumped at the same time the plane would dip slightly and then return to normal flight. When everyone is mid-jump their weight will be momentarily removed from the plane. So the plane would actually be carrying less weight for that fraction of a second and its lift would continue to be the same.

What would happen if you jumped inside a plane?

If you jump straight up on a moving plane you will land on the same spot you initially jumped from because the air – and indeed everything else inside the craft – is moving at the same speed as the plane. Of course, this assumes the plane is moving at a constant speed.

Can we jump from plane?

If that’s not crazy enough, you can skydive: People fly to about 14,000 feet up, then jump out of the plane. They open a parachute, a giant piece of cloth that slows them down — but only after falling at 120 miles an hour. Then there’s Felix Baumgartner, who jumped from a weather balloon 24 miles above Earth.

Why do we land on the same place when we jump?

It’s the same deal with the Earth. We’re all on the moving Earth, and we’re travelling at the same speed as Earth. But as long as Earth is moving, we move around with it so that when we jump up, we’re actually moving up and around at the same time such that we come down in the same place.

What is the 100 seat problem in an airplane?

The Airplane Probability Problem 100 passengers board an airplane with exactly 100 seats. Everyone has a ticket with an assigned seat number. However, the first passenger has lost their ticket and takes a random seat. Every subsequent passenger attempts to choose their own seat, but takes a random seat if their’s is taken.

What are the odds of getting the right seat on a plane?

Now if passengers were boarding and simply choosing seats completely at random, then the chance of you getting the correct seat would be 1 divided by the number of seats on the plane. For example, in a plane with 100 seats you’d have 1/100 chance of getting your own seat if everyone was choosing at random.

What happens when you board the plane with a Mystery Ticket?

When you board, you are forced to sit in the last available seat which is seat #1. Sad. You don’t get your seat. Scenario 4: The last scenario left is if mystery ticket holder chooses seat #3 to sit in. Then the passenger with boarding pass 2 will chooses seat #2 and you’ll be forced to take seat #1.

Why does the author of this problem use one hundred passengers?

The author of this problem uses one hundred passengers to confuse you! It’s an arbitrary number. It’s too large of a number to compute the probabilities of by hand but not so large that you feel it’s impossible. Thankfully the underlying pattern exists whether we have a plane of 100 passengers, 1000 passengers or 10 passengers.