MATH ADV QUESTION HELP (1 Viewer)

[Vipul_K]

Hi we just started probability in advance math, (yh its pretty late ik)
I had a question that popped up in the cambridge book..

For events and from a sample space, P(A|B) = 3/4 and P(B) = 1/3

a) Calculate P(AnB)
b) Calculate P(A'nB) where A' denotes the complement of A
c) If events A and B are independent calculate P(AUB)

I managed to start on these questions but I got stuck throughout.
It would be greatly appreciated if I can get some help!
Thanks in advance

 

[cossine]

a) this question just use the definition of conditional probability and then make p(A n B) the subject
b) will need to think about it more
c) use the inclusion-exclusion principle and the definition of independence

For c) it might help to take a look at this

https://boredofstudies.org/threads/math-phrasology.397775/#post-7405490

 

[Vipul_K]

a) this question just use the definition of conditional probability and then make p(A n B) the subject
b) will need to think about it more
c) use the inclusion-exclusion principle and the definition of independence

For c) it might help to take a look at this

https://boredofstudies.org/threads/math-phrasology.397775/#post-7405490

Yea I got
i. 1/4
ii. 1/12
iii. I cannot get.
Thank you for clarification tho!

 

[jimmysmith560]

Would this help?

Part (a):



Part (b):



Part (c):

 

[Vipul_K]

Would this help?

Part (a):

View attachment 34193

Part (b):

View attachment 34194

Part (c):

View attachment 34195

Oh yea thank a lot! appreciated!