Recent content by sysprog1

From a prior thread: It seems to me that the contestant who considers this rule as a postulate, without considering the specifics of Monty's internal decision path, could provisionally assume it to be true, considering only necessary contributory rules, such that starting chance = 1/3, and...

In that simulation/illustration, what did you devise/implement for/as the algorithmic/procedural basis by which the simulated player uses information from prior games cumulatively to discern/evince the rule?

How long is 'eventually' for the rule to emerge? How many observations would be needed to infer the rule that: in 2/3 of the cases, those in which you first chose one of the 2 wrong doors, [sticking always loses, and switching always wins], and/but in the 1/3 of cases, in which you chose...

When the contestant has chosen a non-prize door, Monty always opens the other non-prize door; when and only when the contestant has chosen the prize door, Monty has to make a decision which of the other doors to open. The balance for Monty having to do a coin toss (*not* apply a biasing rule...

Yes, it should be circumspectly recycled. There is usually over a kilogram of lead, phosphors, and other non-silicon content in a 15.6" CRT monitor or a 19" TV ##-## the lead oxide is in higher concentration in the funnel near the element, and the front/screen part typically uses more barium and...

No, It means that they're made with enough lead in the glass to ensure that instead of passing x-rays, they block them. Yes, 40% is not atypical, although closer to 30% would be closer to average, but higher than 40% would be common in the parts of the tube near the element. The lead is bound...

I think Linux Mint is a good choice for those machine specs ##-## it's built from ubuntu and other debian with stability and backward compatibility prioritized more than latest features, and it's lightweight ##-## For the deployment platform, and for self-hosting in general, you could try...

That machine has VGA and HDMI ports, whereby to connect to an external monitor ##-## if the port isn't damaged, it should become active during the boot sequence; if not automatically on, fn F7 should toggle it on. You could try booting from the DVD player using a linux .iso live DVD, and from...

I think that this is an entertaining explanation for people who already understand that the game favors switchers over stickers, 2/3 to 1/3; however, for those who don't, it's maybe a little overly indirect:

It's not 50%. Among car-door pickers (1/3 of contestants), all stickers win, all switchers lose; Among goat-door pickers (2/3 of contestants), all switchers win, all stickers lose. You can't know in advance which kind of picker you are, whether you're a car-door picker or a goat-door picker...

What's behind each door does not change, and the collective chance of the non-selected doors (that's (n-1)/n, in the case of 100 doors, that's 99/100) does not change, but opening the non-selected non-car doors causes that 99/100 chance to be aggregated into and distributed over fewer doors...

if there are 100 doors, then you have only 1% chance of having picked the car door when you are offered the option to switch, and if you haven't picked the car door (99% chance), then switching wins (every time), but if you have picked the car door (1% chance), then switching loses (every time)...

If you didn't pick the prize door, switching wins; if switching loses; you picked the prize door: ~prize-door ##\rightarrow## (switch ##\rightarrow## win) switch ##\rightarrow## (~win ##\rightarrow## prize-door) Whether you picked the prize door or not is established when you pick a door...

Right ##-## if you always switch, then whenever you first pick the prize door (1/3 of the turns), you lose (by switching from the winner); and whenever you first pick one or the other of the non-prize doors (2/3 of the turns), you win (by switching to the winner (the other loser having been...

Monty doesn't open the door with the car, and he doesn't open the contestant's selected door. So he always opens a non-car non-selected door. The only new thing the contestant learns from Monty opening a door is which door he opened; whether the remaining non-selected non-opened door was...