Question

Jenny is a 60% free-throw shooter. She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points (if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points (she makes both shots).
Suppose Jenny gains confidence after making her first free throw and the probability of her making the second free throw goes up to 70%. Now, what number of points is Jenny most likely to make when she shoots a one-and-one?

A. 0
B. 1
C. 2
D. .78

Answer 1

The answer to this question is:

Jenny is a 60% free-throw shooter. She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points (if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points (she makes both shots). 
Suppose Jenny gains confidence after making her first free throw and the probability of her making the second free throw goes up to 70%. Now, what number of points is Jenny most likely to make when she shoots a one-and-one?
A-"0"

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Answer 2

0.78 points are Jenny most likely to make when she shoots a one-and-one.

Given that,

Jenny is a 60% free-throw shooter.

She gets to shoot a second free throw if and only if she makes her first shot.

She can score 0 points (if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points (she makes both shots).

We have to determine,

What number of points is Jenny most likely to make when she shoots a one-and-one.

According to the question,

The probability that Jenny misses her 1st shot is 0.4

Probability that she makes her first but misses her second = 0.7 x 0.4 = 0.24

Probability that she makes both shots = 0.6 x 0.6 = 0.36

So, the number of points Jenny is most likely to make = 0 x 0.4 + 1 x 0.24 + 2 x 0.36 = 0.96

Jenny gains confidence after making her first free throw and the probability of her making the second free throw goes up to 70%.

Probability that she makes both shots = 0.7 x 0.6 = 0.42

Therefore,

Jenny is most likely to make when she shoots a one-and-one = Probability that she makes both shots is 60% + Probability that she makes both shots is 70%,

=  0.36 + 0.42 = 0.78

Hence, 0.78 points are Jenny most likely to make when she shoots a one-and-one.

To know more about Probability click the link given below.

https://brainly.com/question/23044118