The probability that Maria succeeds at any given free-throw is 75%. She was curious how many free-throws she can expect to succeed in a sample of 10 free-throws.
She simulated 25 samples of 10 free-throws where each free-throw had a 0.75 probability of being a success.
Maria counted how many free-throws were successes in each simulated sample. Here are her results:
5: 0 successes
6: 5 successes
7: 8 successes
8: 6 successes
9: 6 successes
10: 1 success
We need to use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws. First, find out how many successes were less than 7 (out of 25), which is 5. now, we divide 5 by 25 (5/25, formula being number/total attempts) and simplify into a decimal, which comes out to 0.2