A specific location has a 10% chance of rain on any given day. What is the probability that it will take a week for it to rain on two separate days? Here. the answer is 0.0354294. No need to solve it

1. Why did we use negative binomial distribution here instead of geometric or binomial distribution?
2. Restructure the question above 2 times. One should require geometric distribution to be used, the other should require binomial distribution to be used. RESTRUCTURE THE SAME QUESTION so i know when to use these methods.

Whilst answering, make sure you have explained clearly on when to use these 3 methods.