An experiment can result in one of five equally likely simple events, E1, E2..... E5. Events A, B and C are defined as follows.

A: E1, E3 P(A)=0.4
B: E1, E2, E4, E5 P(B)=0.8
C: E3, E4 P(C)=0.4

Okay I understood how to do this through the simple events for everything, except for given probabilities.

e) BgivenC f)AgivenB (sorry I don't know how to use the symbols)

I know you want to see effort, but at the moment all I know is how to find this with the conditional probability method. Even then I'm struggling a bit.



This next part is separate, but maybe it will show that I'm working at this lol.

P(AgivenB)=P(AandB)/P(B), I'm curious how you find AandB in a different scenario, if to find AandB you need to find P(BgivenA), as it shows for the general multiplication rule it's P(AandB)=P(A)P(BgivenA).

Thanks!