Jussi Piitulainen wrote: > Thomas 'PointedEars' Lahn writes: >> Jussi Piitulainen wrote: >>> Thomas 'PointedEars' Lahn writes: >>>> 8 3 6 3 1 2 6 8 2 1 6. >>> >>> There are more than four hundred thousand ways to get those numbers >>> in some order. >>> >>> (11! / 2! / 2! / 2! / 3! / 2! = 415800) >> >> Fallacy. Order is irrelevant here. > > You need to consider every sequence that leads to the observed counts.
No, you need _not_, because – I repeat – the probability of getting a sequence of length n from a set of 9 numbers whereas the probability of picking a number is evenly distributed, is (1∕9)ⁿ [(1/9)^n, or 1/9 to the nth, for those who do to see it because of lack of Unicode support at their system]. *Always.* *No matter* which numbers are in it. *No matter* in which order they are. AISB, order is *irrelevant* here. *Completely.* This is _not_ a lottery box; you put the ball with the number on it *back into the box* after you have drawn it and before you draw a new one. > One of those sequences occurred. You don't know which. You do not have to. > When tossing herrings […] Herrings are the key word here, indeed, and they are deep dark red. > Code follows. Incidentally, I'm not feeling smart here. Good. Because you should not feel smart in any way after ignoring all my explanations. > [nonsense] -- PointedEars Twitter: @PointedEars2 Please do not cc me. / Bitte keine Kopien per E-Mail. -- https://mail.python.org/mailman/listinfo/python-list
