4/29/2023 0 Comments Last man sitting freeWhy? well, if the seat assigned to the 16th person to board is free when the last person boards, then it was also free when the 16th person boarded, so she would have taken it then, a contradiction and the same contradiction works for everyone else after the first person to board.Ī corollary of this observation is that whenever a passenger makes a random choice, both the first person's and last person's seat must be available. The key observation is this: when the last person boards, the only possibilities for empty seats are the correct seat, or the seat assigned to the first person. let me describe what I think is the shortest solution that is still fairly complete. When the 100th passenger finally enters the plane, what is the probability that she finds her assigned seat unoccupied?Ī solution: The probability, somewhat surprisingly, is 1/2! There are long ways to see this, and short ways. After that, each person entering the plane either sits in their assigned seat, if it is available, or, if not, chooses an unoccupied seat randomly. The first person in line is has lost his boarding pass, so he randomly chooses a seat. The puzzle: One hundred people line up to board a plane with 100 seats. Posted Friday, September 9 (solutions by evening of Wednesday September 14) He must also think about what might have been had his career taken a different route after his Wembley heroics six years ago.Probability Puzzler 3 - The TSA wouldn't like this A one year contract that looked to favour the player, could now work nicely for those at the City Ground.įorest face West Ham at the London Stadium on Saturday, in what will be a case of deja vu for Lingard, who must wonder what might've been had he not snubbed the Hammers. It is now being reported that Forest could opt to let Lingard seek another employer once the summer comes around. The 30-year-old has played in 14 league games and is yet to score with his influence a far cry from what was expected. Whilst Steve Cooper's men could well avoid the drop, currently sitting in 13th, Lingard has by no means led their charge towards survival. This will not be viewed well if it goes wrong.”Īnd gone wrong it has. It looks like he’s coming for that one-year deal and then he’s off again. “They could have shaped it in a different way. Maybe, I’m wrong but I think that was a cold thing to do, you commit to a club for two years at least. It was almost like he was telling everybody, I don’t think these will stay up. It copped criticism from Gary Neville, who said: “The Lingard thing was just a one-year deal. Instead Forest made him the club's highest earner on a deal thought to be worth £115,000 per week plus incentives. The England international eventually opted to join Premier League now boys Nottingham Forest, despite the potential to return to West Ham, who were keen on acquiring his services permanently last summer. During that period Lingard, justifiably, turned down a new contract, with his current deal expiring that summer. That role consisted of zero starts in the 12 games before the Norwegian was sacked after a poor opening to the campaign. Solskjaer claimed Lingard had a "big role to play". But there didn't seem to be any clear pathway for him into the first-team though, especially after Jadon Sancho and Cristiano Ronaldo were signed. He would face the same problem once returning to Manchester with the Red Devils reluctant to let Lingard leave once they'd seen what he was capable of.
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