Question

If the events A and B are independent, then P(A) = P(B). This is true right?

Answer 1

No.

Answer 2

Damn lol can you explain?

Answer 3

I buy a car and an earthquake happens.
Are these two events related?

Answer 4

Not at all

Answer 5

So they are independent.

Answer 6

Ohh alright well that makes sense. Thanks bro

Answer 7

You're welcome.

Answer 8

Isn't disjoint when there are no common elements?

Answer 9

two independent events can not be

Answer 10

disjoint ?

Answer 11

its cut off here

Answer 12

@torontoXO Yes.
@mathessentials Yes.

Answer 13

thanks

Answer 14

"two independent events HAVE to be disjoint "
like that ?

Answer 15

*Can not.

Answer 16

so disjoint is the area where they are both in the graph

Answer 17

overlapping

Answer 18

Yes. They have to both be able to occur at the same time even if they're not dependent.

Answer 19

Disjoint means they don't overlap.
Your diagram is not disjoint.

Answer 20

I see

Answer 21

"They have to both be able to occur at the same time even if they're not dependent."
this will be illustrated in the graph how ?
and thx for your ongoing support

Answer 22

Already illustrated. It is possible that an earthquake happens when I buy a car, but it does not mean the earthquake happened because I bought a car.

Answer 23

so if there's a dependency then the one is entirely inside of the other
or it is completely out ?

Answer 24

Yes.

Answer 25

I see

Answer 26

if the area of the overlapping here is greater, does it mean anything ?

Answer 27

car and earthquake have nothing to do with each other
so would the proportion of car+earthquake have to be relative to
car and earthquake

Answer 28

It means both are likely to occur at the same time. This means one is very likely to buy a car and an earthquake is very likely to occur on the same day or time frame.

Answer 29

they're still not dependent though?

Answer 30

They're not. When you're dealing with time dependent events, it gets more complicated than just using circles.

Answer 31

I guess so

just confused about the circle way of representing the probs :D

Answer 32

Yeah, it has its limitations.

Answer 33

all three are independent probabilities ?

Answer 34

You'll need some more information.

Answer 35

what information is required in addition ?

Answer 36

if you have the chances "buy car"(only misses when the store closes early) and "earthquake"(unlikely natural event) they have nothing to do with each other.

they can happen at the same time.

so the chance that both happen at the same time should be proportional to their separate probabilities otherwise we indicate they're more/less likely to happen together

Answer 37

So what's your question exactly?