### Home > GC > Chapter 6 > Lesson 6.1.3 > Problem6-25

6-25.

In a basketball game, a player who gets fouled is awarded a free-throw called a “one-and-one.” When this happens, the player gets a “free shot” from the free-throw line. If the player makes the free-throw, then he or she gets one point and gets to attempt another one-point shot. If the player misses the first free-throw, then no additional attempt is provided.

1. If Vicki makes a free-throw $60\%$ of the time, what is the probability that she will score no points? How did you get your answer?

2. Is there a greater probability that she will make only one free-throw or two? Create a diagram or chart to show your reasoning .

The sum of the probabilities of all the possible outcomes is always $1$.

Use a tree diagram.

Calculate probability:
P(one point) $= (0.6)(0.4) = 0.24$
P(two points) $=(0.6)(0.6)=0.36$