The probability that Leon makes a three-point shot in basketball is 15\%15%15, percent. 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 252525 trials of three-point shots where each shot had a 0.150.150, point, 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:
A dotplot has a horizontal axis labeled, Number of shots taken, which ranges from 0 to 26, in increments of 1. The number of dots above each value is as follows: 1, 5; 2, 3; 3, 1; 4, 1; 5, 2; 6, 1; 7, 2; 8, 2; 10, 1; 11, 1; 17, 2; 18, 1; 20, 1; 23, 1, 26, 1.
Use his results to estimate the probability that it takes more than 555 shots to get his first successful shot.
Give your answer as either a fraction or a decimal.