Question for some smart math people

Search

New member
Joined
Jul 14, 2005
Messages
33
Tokens
I'm working on kind of a system and cant figure something out if you got a team that wins 58% of the time and a team that wins 32% of the time whats the percent that the 58% team beats the 32% team how do you figure this out.
 

New member
Joined
Jul 14, 2005
Messages
33
Tokens
not sure if that makes sense but say the Jays are 58-42 for 58% and the Sox are 32-68 for 32% now if they play against each other what the % for the Jays to win. Maybe that makes more sense
 

Rx God
Joined
Nov 1, 2002
Messages
39,226
Tokens
You can't come close to figuring it out like that, in particular with baseball. Even the worst teams have one decent pitcher. Pitching determines the line. It would be hard to approach this question in just about any sport. Too many factors like injuries, schedules, etc,
 

New member
Joined
Feb 28, 2006
Messages
3,643
Tokens
To answer your question from a purely mathematical perspective, I believe you simply add the 2 together, then divide by 2 to get a weighted average:

58+32 = 90

58 / 90 = 64.44%
 

New member
Joined
Jan 20, 2006
Messages
3,966
Tokens
not really sure what you mean but this might be what you are looking for?

58/(58+32)= 58/90= .644
 
Joined
Sep 20, 2004
Messages
4,001
Tokens
In this case you need to incorporate the fact that there is a 50/50 chance for each game. I need to do some formula searching but I think that with some dusting of some old stat books we may find what you are looking for.
 

2006 People Magazine's Sexiest Handicapper Alive
Joined
Oct 29, 2005
Messages
1,201
Tokens
College Fan said:
To answer your question from a purely mathematical perspective, I believe you simply add the 2 together, then divide by 2 to get a weighted average:

58+32 = 90

58 / 90 = 64.44%

that doesn't make sense...

if those teams have expected win chances of 58% and 32%, respectively...

how would a sub-par team of 32% against an above average team of 58% still end up with a 35.56% chance to win (better than their NORMAL win pct)???

if they're only winning at 32% against all the other teams, they would certainly have a win expectation of well BELOW 32% against a team of above average capabilities...

this is where averaging goes wrong.
 

New member
Joined
Sep 20, 2004
Messages
6,066
Tokens
the problem here is the interactions, that is, one probability and the other are for completely different events when ocurring separately but when you want to combine them there are hidden variables that are not incorporated in your numbers

the "when they play against each other" is a WHOLE different situation and thats when the hidden variables play an important factor, the %s that is 58 and 32 are from a merely empirical basis (you see how many wins etc and extract a raw number) and extrapolating that to any situation would be a mere guess (But hey ! thats gaming after all)

one example

if you have two RANDOM events and want to know whats the probability of both of them having at the same time then you can calculate it

but a baseball game etc is not random and when you have two non random events and want to get the odds of that.............its impossible
 

Rx. Senior
Joined
Sep 21, 2004
Messages
7,744
Tokens
Where would you be without Uncle Winbet

70% 30% You will have to buy my book for the theory. :drink:
 

New member
Joined
Sep 20, 2004
Messages
6,066
Tokens
winbet said:
Where would you be without Uncle Winbet

70% 30% You will have to buy my book for the theory. :drink:

I will buy your book , let me ask my friend Mr. Abusaban to send part of the 50 million dollars I just got in my bank account in Nigeria
 

Rx. Senior
Joined
Sep 21, 2004
Messages
7,744
Tokens
OK its not that big a deal.

A= Team A 58%
X= Team B 32%
Y= the question
d= Doggie Pooh
427.gif

So there you have it, personally I would play the Dog in these circumstances. :drink:
 

New member
Joined
Jun 19, 2005
Messages
1,175
Tokens
Majorcapper said:
I'm working on kind of a system and cant figure something out if you got a team that wins 58% of the time and a team that wins 32% of the time whats the percent that the 58% team beats the 32% team how do you figure this out.

Cant be done, each is independent of the other, here is an example, The Kansas City Royals are winning 20% of thier games, today they are playing a little league team that is undefeated, winning 100%. Do you really believe that you can create a realistic win % for either team by a calculation based solely on these numbers, this is an extreme case but the theory is the same even for teams on a level playing field.
 

New member
Joined
Jul 14, 2005
Messages
33
Tokens
Doug said:
You can't come close to figuring it out like that, in particular with baseball. Even the worst teams have one decent pitcher. Pitching determines the line. It would be hard to approach this question in just about any sport. Too many factors like injuries, schedules, etc,

Ya I know I just wanted to keep the question simple I put more into than just taking they're actual records I took 5 things that I like to look at when capping

Overall record
Home away record
Last 25 games record
Last 10 games record
Starting pitcher (I use the pitchers overall, home away and last 3 starts records and average them)

Overall record 24-20 55%
Home record 14-10 58%
Last 25 15-10 60%
last 10 6-4 60%
Starting Pitcher 12-8 60%

Now average out the pecents which is 58.6% then I do the same thing for the other team and it come out to 32.2% so now I'd like to combine these two numbers and compare it to the odds for the game to see if theres value there so if it were 60% the line would have to be better than -150 for some value.


Heres what I came up with 58.6-50=8.6 and 50-32.2=17.8 take 8.6+17.8=26.4 and add 50 so the number would be 76.4%

I think thats kind of high but if its right and the line is -300 or better there would be some value but that dont seem right.
 

New member
Joined
Jul 14, 2005
Messages
33
Tokens
College Fan said:
To answer your question from a purely mathematical perspective, I believe you simply add the 2 together, then divide by 2 to get a weighted average:

58+32 = 90

58 / 90 = 64.44%


Not sure if this is right or not or what I'm looking for some agree and some dont.

Although this might be it, if you take a great team that 65% and just a good team 55% the great team got a 54% chance of winning that seems about right and if you 55% team against a 55% team this way come out to 50% which is right.
 

Siempre vive RX
Joined
Sep 20, 2004
Messages
2,765
Tokens
I'm no number guru, but I keep thinking of the old coin-flip adage.

If you've flipped heads 10 straight times, the law of averages dictates that there is a high probability that the next flip will be tails....BUT for every individual flip, the probability of heads/tails is exactly 50/50.

Good luck, I hope you find an answer and make a ton.
 

New member
Joined
Jun 19, 2005
Messages
1,175
Tokens
Santo said:
I'll give you a hint -- Binomial distribution.

No hints, please tells us how, I don't believe it can be done, what if each team has a Win % of 0, somebody has to win....
 

Rx. Senior
Joined
Sep 21, 2004
Messages
7,744
Tokens
ICAUITUA said:
No hints, please tells us how, I don't believe it can be done, what if each team has a Win % of 0, somebody has to win....

How does 50% / 50% grab you for your teaser and didnt you see my 70% / 30% for the other geezers teaser, what do you want a signed certificate. :drink:
 

New member
Joined
Jun 19, 2005
Messages
1,175
Tokens
I retract my previous posts after further thought, I believe that 1/2Team A Win % + 1/2Team B Loss%, and 1/2Team A Loss% + 1/2Team B Win% would give you an answer. From the inital post the results would be .5*58+.5*68 for 63% chance of Team A winning, and .5*32+.5*42 for 37% chance of winning. But I still believe this would be a very unreliable tool with out a huge sample of games with identical conditions for both teams.
 

New member
Joined
Sep 21, 2004
Messages
975
Tokens
OK fellas after thinking about this all day I think my first conclusion was actually right, I tried a few of the thoreys here and the numbers dont work.

Heres what I got
Team A 58%
Team B 32%

Take the difference between the two which is 26 and add that to 50 which is 76% team A would win and 24% team B would win.

Heres a couple more examples and the numbers look pretty good, first number is the team win % say against everyone second would be in theory the win % vs just the other team.

Team A 58% - 58%
Team B 50% - 42%

Team A 75% - 65%
Team B 60% - 35%

Team A 44% - 55%
Team B 39% - 45%

So does this look like it could possible be right the numbers look about right
 

Forum statistics

Threads
1,108,525
Messages
13,452,216
Members
99,418
Latest member
TennisMonger
The RX is the sports betting industry's leading information portal for bonuses, picks, and sportsbook reviews. Find the best deals offered by a sportsbook in your state and browse our free picks section.FacebookTwitterInstagramContact Usforum@therx.com