Make the paragraph more coherent.
Since E 1 (\\ displaystyle E_ (1) ) and E 2 (\\ displaystyle E_ (2) ) are mutually exclusive, the craps principle applies. If the original roll was a 4, then the probability of winning is
Since E 1 (\\ displaystyle E_ (1) ) and E 2 (\\ displaystyle E_ (2) ) are mutually exclusive, the craps principle applies. For example, if the original roll was a 4, then the probability of winning is