.
Your question (b) reminds me another similar question
how do you know that 1 + 2 = 3 is valid ?
If you want to learn on how to solve such problems, read the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
- How to calculate Binomial probabilities with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using online solver)
in this site.
You will find there many similar typical problems of this class, solved and explained with all details.
After reading these lessons, you will be able to solve such problems on your own, which is your
PRIMARY MAJOR GOAL visiting this forum (I believe).