This is the geometric distribution. The probability of surviving a meal with 99% survival rate is .99, two meals like that would be .99*.99, three meals .99^3,

This is the geometric distribution. The probability of surviving a meal with 99% survival rate is .99, two meals like that would be .99*.99, three meals .99^3, etc. So the probability you will have died by the n = 1000th meal would be 1 - .99^n = .99995683 https://en.wikipedia.org/wiki/Geometric_distribution https://en.wikipedia.org/wiki/Geometric_distribution