On Fri, 28 Jun 2013 01:21:49 -0700 (PDT), mike wrote:
> The 'numbers' don't come into play in the sense that each button (unlike
> a dial) can't represent 0 to 9; it can only represent on or off, 0 or 1,
> face up or face down. And you can repeat them ...
Repeat a button how? Once it's pressed it's pressed (or turn a card,
it's turned) and no longer available.
The odds for getting the combination by chance must surely be:
No buttons pressed you choose 1 from the 10 available, 4 of which
could be right, odds of getting picking a correct one 1:2.5.
Next choose 1 from the 9 available, 3 of which could be right, odds
of getting picking a correct one 1:3.
Next choose 1 from the 8 available, 2 of which could be right, odds
of getting picking a correct one 1:4.
Next choose 1 from the 7 available, 1 of which could be right, odds
of getting picking a correct one 1:7.
2.5 x 3 x 4 x 7 = 210
> I'm not saying I'm right and anyone else is wrong. I made the original
> posting and I'm questioning whether I'm right.
Same here, we need a real statistician/mathematician to give the
definitive proof.
> As Dave TMH has already pointed out, Keysafe gave a different number of
> total possible combinations to the one that I suggested. And I
> suggested why they might be right.
That's the other thing, maximum number of combinations given the
rules of 10 buttons, each button can only be used once, a 4 digit
code that can be entered in any order may not be the same as that
that could be indicated by the odds of entering the correct
combination by chance.
> I agree with you that probabilties are not particularly intuative. The
> Monty Hall problem was mentioned on here not so long ago and that's
> obviously quite contentious.
But proven, even if some very eminent mathematicians didn't believe
the proof...
--
Cheers
Dave.