actually its wayyy more, 1 in 1 followed by 157 zeros or 1 in 10^157
I had an image attached with the score, but it disappeared
BUT^2! I have just calculated it to be 31! tho 1 in 183 runs get that far, 1 in 591 runs end there! furthermore, the likelihood of getting 100 seems to be 1 in 10^42
another fun fact, losing at a score of 1 is less likely than getting as far as 29!
here's my chart (logarithmic didn't make it more readable)
alpha distributions baby