Talk:Pig

The statement that the average amount of truffles in a day is three for a max happiness pig comes from the claim that the first truffle is pretty much guaranteed and susequent ones have a likeleyhood of 1000/1500 or 2/3.

The first truffle therefore has probalility 1 while the second one has 2/3, the third (2/3)^2 the fourth (2/3)^3 etc.

The average amount of truffles then becomes an infinite geometric series.

1 + 2/3 + (2/3)^2 + (2/3)^3 +....

We call this S and perform some calculations:

S = 1 + 2/3 + (2/3)^2 + (2/3)^3 +....

S*(2/3) = 2/3 + (2/3)^2 + (2/3)^3 + (2/3)^4 +....

S - S*(2/3) = S*(1/3) = 1

S = 3

I did this same calculation and arrived at 2.5 at first becuase I did 1000/1500 in my head and somehow got 3/5. This should be right though. Viktor36 (talk) 22:44, 17 May 2021 (UTC)