Question

Let A and B be independent events, C and D be mutually exclusive events, and F and G be overlapping events. Calculate the following probabilities
if P(A)=25%, P(B)=25%, P(C)=10%, P(D)=40%, P(F)=80%, P(G)=50%, and P(F and G)=40%.

find P(not A)

Answer 1

P(not A) = 1 - P(A) = 1 - 0.25 = 0.75

Answer 2

or 75%

Answer 3

oh wow i think i way over thought that problem thanks @BangkokGarrett

Answer 4

Yeah...are there more questions involving B C D F and G ?

Answer 5

yes

Answer 6

P (C or D)
P ((not F) nd (not G))

Answer 7

sorry supposed to say and*

Answer 8

Since they're mutually exclusive you can just add them together
P (C or D) = P(C) + P(D) = 0.1 + 0.4 = 0.5 or 50%

Answer 9

i got that one i am kinda confused on the second one

Answer 10

The second one is 1 - [P(F) + P(G) - P(F and G)]
1 - [0.8 + 0.5 - 0.4]
1 - 0.9
0.1

Answer 11

the second one says NOT f and NOT g ........

Answer 12

yes... i know... look at a Venn diagram
We want the area outside those circles
The area inside is 0.9 if you add the pieces
The area outside is then just 1 - 0.9