Question

Given that events A and B are independent, what is P (A|B)?

P (A)
P (B)
P (A and B) / P (B)
P (A or B)
P (A and B)

Answer 1

\[P(A|B)=\frac{P(A and B)}{P(B)}\] for any events A and B

BUT!!!!
this can be simplified further since A and B are independent

Answer 2

P(A and B)= to what if A and B are independent

Answer 3

so its the last answer?
P(A and B)

Answer 4

I didn't say that

Answer 5

I'm asking you to tell me what P(A and B) equals given that A and B are independent

Answer 6

im confused

Answer 7

here are your hints:
\[\text{ for any events } A \text{ and } B \text{ we have } P(A|B)=\frac{P(A \text{ and } B)}{P(B)} \\ \text{ if } A \text{ and } B \text{ are independent then } P(A \text{ and } B)=P(A) \cdot P(B)\]

Answer 8

use these two things to get your simplified answer for what is P(A|B) if A and B are independent

Answer 9

oh so it would be just P(A)

Answer 10

yes but technically
P(A and B)/P(B) is also right
it is just not completely simplified
but if I only got once choice I would go with P(A)

Answer 11

are you sure :/

Answer 12

yes sure

Answer 13

satellite, do you agree with P(A)

Answer 14

it is the definition of independent that A and B are INDEPENDENT if
\[P(A|B)=P(A)\]
that is exactly what the word means

Answer 15

i agree with misty