3 variable conditional probability

[catlaidy]

hey guys!
can someone please explain how to we get the results in blue?
tnx!

 

[Steven G]

This is a math help forum. Rather than just given answers to students we expect the student to solve their own problem(s) with our help.
What have you tried, where are you stuck. Please post back with your work.

 

[catlaidy]

hey,
i have tried, and failed. this is the official answer and i'm just trying to understand it so i can learn....
the table in blue is the answer, which i still cant understand. how can you use the probability of A B and C to get this table? don't i need to know P(A intersection B) to fill it? because they are not independent...
thanks in advance..