The soccer team won 80% of its games this season. If the team won 12 games, how many games did it play?

1 Answer
Feb 13, 2016

The team played 15 games.

Explanation:

It an be solved with the help of a binomial distribution.

Probability of the soccer team wining a game#p=0.8#
Average Number of games it has won is #barx=12#

Then -

#barx=n.p#
#12=n xx 0.8#

solve it for #n#

#n xx 0.8=12#
#n=12/(0.8)=15#

The team played 15 games.