- Posts: 353
- Joined: Sun Aug 26, 2012 10:37 am
Guys,
To estimate the probability that Bonds hit 140 home runs in a season, you don't need standard deviations or simulations. In fact, the formulas are fairly simple, see : http://www.probabilityformula.org/binom ... rmula.html
So, for Bonds, assuming on average that he hits in BPHR=15 (fairly high), and assuming that he gets 3 HR per 108 chances on opponents cards, the probability that he hits 140 homeruns if the system is not rigged is 0,00000002374. The probability of that event to occurr in 1156 seasons is 0,000002744. Assuming 710 Pa for a full season.
So I think we can safely say that it's a nearly implausible event that Bonds hit 140 home runs.
I repeated the same exercise for 70 homeruns in a half season. There was a 5% probability that this could happen once in 1156 seasons. So not nearly impossible
Edit:Corrected 35 by 70.
If we repeat this exercise but assuming high homeruns chance on the pitchers card and stadiums homeruns rating of 20, as we find in some theme leagues, I'm pretty sure we can have a higher probability of having a few half-seasons of 70 homeruns, but the probability that two half-seasons coincidently happen back-to-back to have a 140 homeruns season still appears to me as highly implausible.