1-pbinom(0, size=5e+01, prob=1e-01)  # [1] 0.9948462
1-pbinom(0, size=5e+02, prob=1e-02)  # [1] 0.9934295
1-pbinom(0, size=5e+03, prob=1e-03)  # [1] 0.9932789
1-pbinom(0, size=5e+04, prob=1e-04)  # [1] 0.9932637
1-pbinom(0, size=5e+05, prob=1e-05)  # [1] 0.9932622
1-pbinom(0, size=5e+06, prob=1e-06)  # [1] 0.9932621
1-pbinom(0, size=5e+07, prob=1e-07)  # [1] 0.9932621
1-pbinom(0, size=5e+08, prob=1e-08)  # [1] 0.9932621
1-pbinom(0, size=5e+09, prob=1e-09)  # [1] 0.9932621
1-pbinom(0, size=5e+10, prob=1e-10)  # [1] 0.9932621