Hey, I was just wondering if any one could help me with this question. I already know the answers and have provided them for you, however i would like to know how the answer is obtained.

Q. Football Strategies:A particular football team is known to run 30% of its plays to the left and 70% to the right.A linebacker on the opposing team notes that the right guard shifts his stance most of the time (80%) when plays go to the right and that he uses a balanced stance the remainder of the time. When plays go to the left, the guard takes a balanced stance 90% of the time and the shift stance the remaining 10%. On a particular play, the linebacker notes that the guard takes a balanced stance.

(a) What is the probability that the play will go to the left?Answer:.6585

Answer:.3415

(b) What is the probability the play will go to the right?

I have spent ages trying to figure it out, so any help will be greatly appreciated.

Cheers,

RaVS.