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)