## The probability that Leon makes a three-point shot in basketball is 15%. For practice, Leon will regularly shoot a series of these sho

The probability that Leon makes a three-point shot in basketball is 15%. For practice, Leon will regularly

shoot a series of these shots until he makes one. He’s curious how many shots it will typically take him to

get his first successful shot.

He simulated 25 trials of three-point shots where each shot had a 0.15 probability of being made, and in

each trial, he counted how many shots it took to get the first successful shot. Here are his results:

0 2 4 6

8 10 12 14 16 18 20 22 24 26

# of shots taken

Use his results to estimate the probability that it takes more than 5 shots to get his first successful shot.

Give your answer as either a fraction or a decimal.

P(more than 5 shots)

## Answers ( )

Answer: 0.52

Step-by-step explanation:

In 12 of the 25 simulated trials, it took 5 or fewer shots to get his first successful shot. So in the other 13 trials it took more than 5 shots to get his first successful shot.

P(more than 5 shots) = 13/25=0.52

Answer:34/42 or 0.52

Step-by-step explanation: