Craps.math

Casino version of Craps.

1st up is the length of the shooters hand distribution probabilities. Probably the easiest way to calculate this in a spreadsheet using simple multiply and addition.

A shooters hand consists of all the rolls starting from the 1st roll (the 1st come out roll) to the last roll - the 7 out.

It is well know the average number of rolls in a craps hand or the expected number of total rolls is 1671/196 = about 8.5255 rolls

the accepted world record is 154 rolls including the 7 out

R code for the length of a shooters hand. rolls between 1 and 200 accepted.

Uses a Markov chain