
05811067
j
2010f.00909
Teves, Christopher J.
Burchenal, Joseph T.
Haluska, Daniel M.
Sommers, Paul M.
A Poisson model for ``hitting for the cycle'' in Major League Baseball.
J. Recreat. Math. 35(2006), No. 2, 112116 (2009).
2009
Baywood Publishing Company, Amityville, NY
EN
K60
A20
M90
recreational mathematics
mathematical applications
sport
distributions
probability theory
stochastics
Summary: In a recent article in this journal, Campbell et al. showed that the Poisson probability distribution provides an excellent fit to the data on nohit games in Major League Baseball, especially during the period 19201959. Hitting for the cycle (that is, when a batter hits a single, double, triple, and home run in the same game) is another rare event in Major League Baseball. And, here too, the Poisson probability distribution given by $p(X=x)=\frac{e^{\mu}\mu ^x}{x!}$ , $x=0,1,2,\dots$ where x denotes the number of ballplayers who ``hit for the cycle'' in a given season provides a remarkably good fit.