A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are independent, what is the probability the team wins all the games?
P(w1 u w2 u w3 u w4)=1-P(w1 u w2 u w3 u w4)' the ' mark stands for complement
The Attempt at a Solution
I found that the complement w=.25, and since it says independent that 1-p(w1)'p(w2)'p(w3)'p(w4)' so 1-.25^4=.996 probability of winning however the book says .75^4 why didn't they do as I did?