# Life is like a...

XanthosNZ
Posers and Puzzles 28 Mar '06 10:30
1. XanthosNZ
Cancerous Bus Crash
28 Mar '06 10:301 edit
Postulate:

Given a mixed box of chocolates containing n distinct chocolates, r of which are wrapped, there is a greater than r/n chance that the last remaining chocolate will be wrapped.

Assumptions:
n > r
r != 0
n,r are natural numbers.
2. 28 Mar '06 11:18
I don't know any natural number r for which r!=0.

If you mean n > r >= 0, then I assume your postulate refers to human behaviour. For me, it depends on how tasty each type is, and who is to pick the last wrapped resp. unwrapped.

Of course, only Belgian chocolates will do ðŸ˜€
3. 28 Mar '06 13:04
Originally posted by Mephisto2
I don't know any natural number r for which r!=0.
42 is a natural number...? And 42 != 0?
4. 28 Mar '06 14:21
I think he meant that 0 is not part of the set of natural numbers. Although there really is no general agreement as to whether it should be included or not.
5. 28 Mar '06 14:29
Originally posted by Balla88
[b]I think he meant that 0 is not part of the set of natural numbers. b]
Yes, I think youre right.

Sometimes "!=" is pronounced "not equal to" (used by programmers), and in this case "r != 0" mening "r not equal to zero" says that r can be any natural number except zero. For example 42.
6. 28 Mar '06 14:395 edits
I see the problem (therefor my edits): the "is not equal' sign is not supported by all editors (although it is on my keyboard).
7. PBE6
Bananarama
28 Mar '06 16:56
Originally posted by XanthosNZ
Postulate:

Given a mixed box of chocolates containing n distinct chocolates, r of which are wrapped, there is a greater than r/n chance that the last remaining chocolate will be wrapped.

Assumptions:
n > r
r != 0
n,r are natural numbers.
If you have n distinct chocolates, there are n! possible arrangements in total. To find out how many have a distinct wrapped chocolate at the end, we designate one to be put at the end and arrange the rest, so the number of possible arrangements here is (r choose 1)*(n-1)!. The probability that the chocolates will be selected in an order represented by the second group is then:

P = (r choose 1)*(n-1)! / n!

= r*(n-1)! / n!

= r / n

There must be some trick I'm missing.
8. leisurelysloth
Man of Steel
28 Mar '06 17:13
People like to see what they're getting? ðŸ˜•
9. 28 Mar '06 17:19
Aren't the wrapped chocolates usually the ones with alcohol inside? Maybe the majority of chocolate eaters doesnt like alcohol in chocolates. Especially during daytime when they have to work etc and shouldnt get drunk yet. ðŸ˜€

But I also think it's the fact that its wrapped. People are just too lazy.
10. AThousandYoung