Calculate Odds of Team in Tiebreaker 2 Years in a Row

wxrocks
Messages
130
Reaction score
0
So, I am discussing with a friend of mine the odds of having a team be involved in a season end tiebreaker 2 years in a row. Although I did have statistics in college, I am a not a great statistician, so I am wondering if someone can help me with how to calculate the odds.

Thanks!
 
Mathematics news on Phys.org
In such situations it is always difficult to get a reliable result. In stasticial models you usually make all kinds of assumptions (in the simplest case: the probability of any team winning a match is always equal to p and the number of matches played every season is the same). However, obviously apart from the complicated statistical factors (varying strengths of the opponents and qualities of the players in the team, ...) there is always some uncertainty which is hard to capture in the model (players can have a bad day, rain can spoil the game for the team which would have won if it had been sunny, a team can lose by one player hitting the ball in an unlucky way, ...)

Your best bet would probably to collect as many data from past years as possible, and apply some numerical analysis on that, rather than trying to make a mathematical model.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top