Question using either Bayes theorem or other fundamental sta

Question using either Bayes theorem or other fundamental stats theorem:

On Tuesday, LeBron James practices free throws. At the start of practice, he makes theshot 5/13 times. If he makes his ?rst shot, he decides he

Solution

In last practise he can make a first shot or not each with a probability of 5/13 and 8/13

So,during the free throw he can make a shot with a probability of

(made first shot in last practise)(probability of firstshot in freethrow during game given he made firstshot in last practise) + (didnt make first shot in last practise)(probability of firstshot in freethrow during game given he didnt make firstshot in last practise)

= (5/13)*(4/13) + (8/13)*(6/13) = 20/(13*13)+ 48/(13*13) = 68/13*13 = 68/169 or 0.402367