Question

On average, Kirsten hits a target 2 out of every 3 times she throws a ball. Write a proportion that tells how many times, Kirsten will most likely hit the target if she throws the ball 24 times.

Answer:
Show work here.

Options:
A) Kirsten will most likely hit the target 12 times if she throws the ball 24 times.
B) Kirsten will most likely hit the target 8 times if she throws the ball 24 times.
C) Kirsten will most likely hit the target 16 times if she throws the ball 24 times.
D) Kirsten will most likely hit the target 18 times if she throws the ball 24 times

Answer 1

The probability of Kirsten hitting the target is 2/3. Using this probability, we can set up a proportion to find out how many times Kirsten will most likely hit the target if she throws the ball 24 times. The answer is 16 times. Hence the correct answer is option C

Step-by-step explanation:

To find out how many times Kirsten will most likely hit the target if she throws the ball 24 times, we can set up a proportion. The proportion is:

(Number of hits Kirsten will most likely make) / (Total number of throws Kirsten will make) = (Probability of hitting the target)

Since Kirsten hits the target 2 out of every 3 times, the probability of hitting the target is 2/3. Substituting the values, we get:

(Number of hits Kirsten will most likely make) / 24 = 2/3

Cross multiplying, we have:

3 * (Number of hits Kirsten will most likely make) = 2 * 24

Simplifying, we find:

Number of hits Kirsten will most likely make = 16

Therefore, Kirsten will most likely hit the target 16 times if she throws the ball 24 times. So, option C) Kirsten will most likely hit the target 16 times if she throws the ball 24 times is the correct answer.