Question

read the story. marcy plays on her schools basketball team. the game her team is playing is almost over, and marcy is about to shoot 2 free throws. she needs to make them both for her team to win! if she makes her free throws 75% of the time, how likely is it that she will make both of them? marcy simulates the situation by putting 5 white shells and 15 orange shells in a bag. she picks a shell, then returns it to the bag, 2 times. each time an orange shell appears, it represents marcy making a free throw. marcy records the results by writing \w\ for a white shell and \o\ for an orange shell. here are the results of 25 trials: oo ow oo ww ow oo oo wo oo oo wo ww oo ow oo oo oo wo oo wo ow oo oo wo oo based on marcys results, what is the probability that she will make both free throws? %

Explanation:

Step1: Count total trials

There are 25 trials.

Step2: Count successful trials

We look for "OO" results. Counting them, we find 8 "OO" results.

Step3: Calculate probability

The probability $P=\frac{8}{25}= 0.32$. Converting to percentage, $0.32\times100 = 32\%$.

Answer:

32%