You are right! Assume the teams are equally matched. I figured I'd forget some conditions.
Linda -----Original Message----- From: programming-boun...@jsoftware.com [mailto:programming-boun...@jsoftware.com] On Behalf Of Henry Rich Sent: Tuesday, January 31, 2012 7:51 AM To: Programming forum Subject: Re: [Jprogramming] Challenge 5 Super Bowl Supposition There has to be some a priori knowledge of the two teams' strengths. Henry Rich On 1/31/2012 4:46 AM, Linda Alvord wrote: > Challenge 5 Super Bowl Supposition PLEASE DO NOT RESPOND UNTIL 2/6/2012 12 > am EST > > > > As the Super Bowl approaches, suppose it will be decided like baseball. Four > of seven games determines a winner. Also suppose that the NFL has won the > first game. > > > > Simulate results of 2000000 series and provide the number of times the NFL > wins in 4 5 6 7 games. If the AFL wins this Extended Super Bowl > Contest, the result is an 8 . Create a 2000000 item list of number of > games necessary to determine a winner and provide a frequency distribution. > > > > fd=: [: /:~ ({. , #)/.~ > > fd (expression for 2000000 trials) > > 4 249561 > 5 374865 > 6 373851 > 7 312603 > 8 689120 > > ]games=:fd n,.2000000$6 > > 4 249301 > 5 376266 > 6 375281 > 7 311189 > 8 687963 > > ]prob=:(4+i.5),. (1{"1 games)%2000000 > > 4 0.124651 > 5 0.188133 > 6 0.18764 > 7 0.155595 > 8 0.343982 > > > > ]+/(1{"1 games)%2000000 > > 1 > > > > Now, confirm that your results are reasonable with a theoretical argument. > > > > Also, enjoy the Super Bowl! > > > > Linda > > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
