the probability that alma makes a three - point shot in basketball is 20%. for practice, alma will regularly…

the probability that alma makes a three - point shot in basketball is 20%. for practice, alma will regularly shoot a series of these shots until she makes one. shes curious how many shots it will typically take her to get her first successful shot. she simulated 50 trials of three - point shots where each shot had a 0.2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. here are her results: use her results to estimate the probability that it takes fewer than 7 shots to get her first successful shot. give your answer as either a fraction or a decimal. p(fewer than 7 shots)≈□

the probability that alma makes a three - point shot in basketball is 20%. for practice, alma will regularly shoot a series of these shots until she makes one. shes curious how many shots it will typically take her to get her first successful shot. she simulated 50 trials of three - point shots where each shot had a 0.2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. here are her results: use her results to estimate the probability that it takes fewer than 7 shots to get her first successful shot. give your answer as either a fraction or a decimal. p(fewer than 7 shots)≈□

Answer

Explanation:

Step1: Count total trials

There are 50 trials in total.

Step2: Count successful - within - 7 - shots trials

Count the number of dots for 1, 2, 3, 4, 5, 6 shots. By counting, we find there are 12 + 9+ 7 + 6+ 4 + 3=41 trials where it takes fewer than 7 shots.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{41}{50}=0.82$.

Answer:

0.82