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).

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.

GPT 3.5 · Answer

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.

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).

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).