This famous matching birth day of the year paradox is an example of why I think that understanding probability is very counter-intuitive for the human brain. Your assignment is to try to really really really really understand how & why this computation works.

Then, answer the following questions, assuming there are four people in the room:

(1) What is the probability there is at least one shared birth month of the year among these four people?

(2) What is the probability there is at least one shared birth day of the week among these four people (remember, there are 7 days in a week)?

this entire submission needs to be in your handwriting (no typing).
you need to show and explain each step (you are welcome to use example 26 as your guide).
when multiplying fractions, DO NOT first change each fraction to a decimal because this reduces the accuracy of your final answer.
Write your final answer to 3 decimal places - do not round.