Question
In basketball, "one-and-one" free throw shooting (commonly called foul shooting) is done as follows: if the player makes the first shot (1 point), he is given a second shot. If he misses the first shot, he is not given a second shot (see the tree diagram).
First
Second
Point
No point
Point
No point
Total
2
1
0
shot
shot
points
Christine, a basketball player, has a 70% foul shot record. (She makes 70% of her foul shots.) Find the probability that, on a given one-and-one foul shooting opportunity, Christine will score no points.
First
Second
Point
No point
Point
No point
Total
2
1
0
shot
shot
points
Christine, a basketball player, has a 70% foul shot record. (She makes 70% of her foul shots.) Find the probability that, on a given one-and-one foul shooting opportunity, Christine will score no points.
Answers
GPT 3.5
The probability that Christine will score no points is equal to the probability that she will miss her first shot.
Given that Christine has a 70% foul shot record, the probability of missing her first shot is equal to 1 - 0.70 = 0.30.
Therefore, the probability that Christine will score no points is 0.30.
Given that Christine has a 70% foul shot record, the probability of missing her first shot is equal to 1 - 0.70 = 0.30.
Therefore, the probability that Christine will score no points is 0.30.