text: the binomial distribution? hi there,  two men play 15 games of darts. the probability that one of the men win one game of darts is 0.3. what is the probability that that person wins less than half the games? would it not be the probability that he wins less than or equal to seven games, since we cant play half a game? yes, that would be the probability that he wins 7 or fewer games  15!/(0!15!)(0.3^0)(0.7^15) + 15!/(1!14!)(0.3^1)(0.7^14) + ... + 15!/(7!8!)(0.3^7)(0.7^8)  you would have to compute 8 probabilities and add them together.  i get it to be about 0.95.