little problem(s) 2022.09

[pier4r]

#1
Given a not fair coin, where heads shows up 60% of the time, and 50 coin tosses , what is the probability to get at least 5 tails in a row ? What about "exactly 5" ?

#2
Practically generalize #1.

Given a probability P of success (getting tails, heads or what have you) and N repetitions, what is the probability that we get a streak of at least S successes in N repetitions?


Of course approximations based on programs are welcomed.