Question

given the probabilities: P(A & B^c) = 0.15 , P(A^c & B)= 0.30 , and P(A^c & B^) = 0.35 find P(B)

Answer 1

i havent come across an '^' in probablitites yet; whats it mean?

Answer 2

I can't figure out how to make a small C at the top for compliment... so I tried that...

Answer 3

ohh; compliment :)

Answer 4

Yeah :) Sorry if it was confusing!

Answer 5

-A is the complement of A right?

Answer 6

I think so

Answer 7

\[\bar A\] in latex :)

Answer 8

it looks tricky; but a venn diagram might be helpful

Answer 9

i get .45

Answer 10

The right answer is .5 but I don't know how to get it

Answer 11

really? let me try again

Answer 12

yeah would help if i knew how to add!

Answer 13

easiest way is to draw a venn diagram. you have everything known but
\[P(A\cap B)\] and so add up, subtract from 1 and get
\[P(A\cap B)=.2\]

Answer 14

it is .5

Answer 15

.3+(1-(.15+.35+.3))=.5

Answer 16

since
\[P(B)=P(A\cap B) + P(A^c \cap B)\] you get it

Answer 17

would you like to see the venn diagram or are you happy with the answer?

Answer 18

Happy with the answer, thank you!