Bob is a high school basketball player He is a 70 free throw

Bob is a high school basketball player. He is a 70% free throw shooter.
That means his probability of making a free throw is 0.70.

a) During the season, what is the probability that ...
... Bob makes his third free throw on his fifth shot?

b) During the season, what is the probability that ...
... Bob makes his first free throw on his fifth shot?

c) During the season, how many free throws do we expect him ...
... to miss before making his fifth free throw?

Solution

a) 5C3(0.7)^3(0.3)^2=0.2106

b)5C1(0.7)^1(0.3)^4=0.2835

c) 0.7x=5

x=5/0.7=7.1 so in eightth throw he will be making fifth free throw