Question

If the events A and B are independent, then P(A and B) = P(A)P(B). True or false. I say false..

Answer 1

I believe, if there's some sort of cross dependence
then it could be that P(A and B) is more likely than both happen to happen at the same time separately

Answer 2

it is true.

Answer 3

Damn I'm always failing this crap lol can you explain @surjithayer

Answer 4

@surjithayer are the both terms the exact same thing ?

Answer 5

if two events are independent then probability of one is independent of second and vice verse.

Answer 6

so, because they're independent it doesn't matter if we ask
P(A) and P(B) or
P(A and B)

because, P(A and B) is not more likely than P(A) and P(B)

Answer 7

i dont understand independence :(

Answer 8

I think understand it 0.o

Answer 9

what is different, if there is dependence ? they're more likely to happen together right ?

Answer 10

what confuses me is that P(A) and P(B) is also when they're together......

Answer 11

Ohh yeah true... damn

Answer 12

here I give one example.
A die is thrown and 6 possible outcome are assumed to be equally likely. If E is the event :"the number appearing is a multiple of 3."and F The event:" the number appearing is even." Then show that E and F are independent.
P(E)=P({3,6})=2/6=1/3
P(F)=P({2,4,6})=3/6=1/2
P(E and F)=P({6})=1/6
1/6=1/3 *1/2
P(E and F)=P(E) *P(F)