[Notes] - 50 Challenging Problems in Probability

Notes on 50 Challenging Problems in Probability by Frederick Mosteller

Probability

Number of Trials of probability p until successful:

Combinatorial Series

A useful approximation, if r is relatively small compared to n, using the fact that when x is small

Algebra

Stirling’s approximation

Useful approximation(right side is usually more approximate)

Reminders

1. Always consider to solve the problem bruteforcely when u think that theoretically its hard to solve the problem. Try with n = 1, 2,… and find the pattern.

2. Solve the problem step by step.

3. Read the question slowly and ask any question that comes up to your mind.