seat and this is where it gets a little interesting since this time the second passenger has a choice since they're picking their next seat at random their seat was taken half the time they will take your seat leaving you with the wrong seat the first seat and half the time they'll take the first seat leaving you with the right seat your correct seat we can compute these probabilities without too much trouble one third of the time the first passenger takes their seat leaving you with yours and one sixth of the time the second passenger ends up taking the first passenger seat leaving you with yours one-third plus one-sixth is one-half the answer in this case we could do this with four passengers and so on but the pattern is going to hold true basically three things can happen the first passenger takes their own seat meaning everyone sits in their assigned seat including you the first passenger could also take your seat meaning everyone else on the plane will get their own assigned seat since you're the last person on the plane and then in turn you will end up in the first passenger seat or finally the first passenger could take the seat of someone in the middle causing that person to take a random seat and starting a cycle a cycle that would eventually close with that person either taking the first passenger seat or your seat what's pretty interesting about this is that you only ever end up in your own seat or the first passenger seat both of those situations being equally likely since you seem to enjoy learning you should check out the sponsor of today's video skillshare skillshare is an online learning community with thousands of inspiring classes it's great whether you want to learn a new skill expand on your passions or you just feel like being creative if you are ever interested in making your own videos you can learn everything you need from videography to editing to youtube personally i really enjoyed the productivity masterclass principles and tools to boost your productivity by ali abdull the class talked about a number of concepts you don't usually hear about what's great is that you can join with no risk since the first NUMBER_TOKEN people to click the link in the description will get a one month free trial of skillshare there's no ads they're always launching new classes and what i like best is you have an unlimited learning potential probability of one-half is pretty certain in this case but there's another situation where it's very debatable if the probability is one-half click the video right here to check it out i'll see you in that one
START_SPONSOR_TOKEN since you seem to enjoy learning you should check out the sponsor of today's video skillshare skillshare is an online learning community with thousands of inspiring classes it's great whether you want to learn a new skill expand on your passions or you just feel like being creative if you are ever interested in making your own videos you can learn everything you need from videography to editing to youtube personally i really enjoyed the productivity masterclass principles and tools to boost your productivity by ali abdull the class talked about a number of concepts you don't usually hear about what's great is that you can join with no risk since the first NUMBER_TOKEN people to click the link in the description will get a one month free trial of skillshare there's no ads they're always launching new classes and what i like best is you have an unlimited learning potential END_SPONSOR_TOKEN