Question

In basketball, " one on one" free throw shooting ( commonly called foul shooting) is done as follows: if the player makes the first shot(1point), she is given a second shot. If she misses the first shot, she is not given a second shot. Christine, a basketball player, has a 70% free throw record. (she makes 70% of her free throws). Find the probability that, given one-on-one free throw shooting opportunity, Christene will score one point.

Answer 1

If she will be able to shoot the first shot and miss the second shot, then she will obtain 1 point.

Thus, the probability that Christine will get the first shot is as follows:

`P(1pt)=(0.7)(0.3)=0.21`

where the first factor is the probability that she will shoot the first shot and the second factor is the probability that she missed the second shot. Thus, the probability of obtaining 1 point is 21% or 0.21.