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Four hats

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Comments

  • I thought this was about how many jobs Jason Euell will be juggling - assistant manager, first team coach, tea lady and leaf blower.
  • No - insufficient info
  • Love these puzzles, properly make you think
  • bobmunro said:
    Chizz said:
    This is proving astonishingly difficult 

     :smiley:  

    Let's try an easier one then - and I'll allow people to post their answer!!

    Quiz show and the finalist is given the option to choose one of three doors marked A, B and C. Behind two of the doors is a pound coin, behind the remaining door is £1 million pounds.

    The finalist chooses a door and the quiz master opens one of the remaining two doors to reveal a £1 coin. The quiz master asks the contestant if he wishes to stay with his original choice or to switch to the other closed door.

    Does he stay with his original choice, switch, or doesn't it make any difference to his chances of winning?
    Switch, variable change. 
  • Assuming this happened between 2014 and 2020, if A can see two hats the same colour he will shout out that colour and be wrong on purpose. Presumably that's his CAFC badge, and he'd rather be kept away from football.
  • Fifty fifty?
  • Chizz said:
    bobmunro said:
    Chizz said:
    This is proving astonishingly difficult 

     :smiley:  

    Let's try an easier one then - and I'll allow people to post their answer!!

    Quiz show and the finalist is given the option to choose one of three doors marked A, B and C. Behind two of the doors is a pound coin, behind the remaining door is £1 million pounds.

    The finalist chooses a door and the quiz master opens one of the remaining two doors to reveal a £1 coin. The quiz master asks the contestant if he wishes to stay with his original choice or to switch to the other closed door.

    Does he stay with his original choice, switch, or doesn't it make any difference to his chances of winning?
    He should switch, and, by doing so, double his chance of winning. 

    He probably doesn't though. 
    this is only true if the qm intentionally opened the door knowing there was a pound coin behind it. we don't know whether that is the case here or whether he opened a random door which happened to be one of those with a pound in which case it's 50/50. In the original monty hall problem a door with a goat is always intentionally opened, we don't have that info here though

    even so switching is still the right move because at worst it's 50/50
  • rina said:
    Chizz said:
    bobmunro said:
    Chizz said:
    This is proving astonishingly difficult 

     :smiley:  

    Let's try an easier one then - and I'll allow people to post their answer!!

    Quiz show and the finalist is given the option to choose one of three doors marked A, B and C. Behind two of the doors is a pound coin, behind the remaining door is £1 million pounds.

    The finalist chooses a door and the quiz master opens one of the remaining two doors to reveal a £1 coin. The quiz master asks the contestant if he wishes to stay with his original choice or to switch to the other closed door.

    Does he stay with his original choice, switch, or doesn't it make any difference to his chances of winning?
    He should switch, and, by doing so, double his chance of winning. 

    He probably doesn't though. 
    this is only true if the qm intentionally opened the door knowing there was a pound coin behind it. we don't know whether that is the case here or whether he opened a random door which happened to be one of those with a pound in which case it's 50/50. In the original monty hall problem a door with a goat is always intentionally opened, we don't have that info here though

    even so switching is still the right move because at worst it's 50/50

    For the quiz to work it has to be intentional.

    If it is random then if the car is revealed the game is over. If a goat is randomly exposed then the contestant must switch as it gives double the chance of winning the car.
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