Question

Independent and Dependent Events

Answer 1

can someone explain the difference between those with examples please?

Answer 2

,,independent" mean that this not depend from nothing and dependent mean that this depend from something - hope is understandably

Answer 3

can you give an example

Answer 4

so with example

3x+7=p

so than you see there 7 is constant so this mean that is independent but 3x - like the first term of this equation depend the value of x what can being different values

ok.?

Answer 5

like a math. example

Answer 6

is that my previous examples have been different, I've had this

Answer 7

and I already did the formula and got the ones that using the same denominator gave me the same number and the other letter but idk how to differentiate them

Answer 8

or one second example

the change of day and night is independent from part that you will sleep or not in the night

but your body is dependent the case of you will sleep in the night or not

ok. ? because than you dont sleep you will be tired

Answer 9

so what you have there
1. case a --- sorry i not can writing U inversed - so first case this mean that dependent the A and B but independent the C

so do you can tel me how than the second ?

Answer 10

come please this is easy A intersected C how will depend about what and how will be independent about what ?

Answer 11

ok it would be 6/10

Answer 12

3/5

Answer 13

0.6

Answer 14

or 6/65 right?

Answer 15

6% mean 6/100

yes ?

Answer 16

yes

Answer 17

so A/C really is equal 6,5 but see that there not is specified this 0,5% - i dong know it why

Answer 18

so than you see in the next B intersected C so there is 20/65 = 13% but than A/C need being 6,5%

hope you understand it

Answer 19

ok.?

Answer 20

so A and C are independent? and the rest are not?

Answer 21

the first depend the A and B but independent the C
second depend the A and C but independent the B
3rd depend the B and C but independent the A

clearly ?

Answer 22

so for one 3rd example

than you and your brother play a game so the result of this game depend the you and your brother but this result of the game is independent what make your father in this time

yes ?

Answer 23

Independence has a definition: \(P(A\;and\;B) = P(A)\cdot P(B)\)

Therefore, Dependence has a definition: \(P(A\;and\;B) \ne P(A)\cdot P(B)\)

If you want to talk around the definitions, you must conclude that Independence means the outcome of one even has NOTHING to do with the out of another event.

Event 1: Rolling a 5 on a standard 6-sided die
Event 2: Probability of flipping heads on a standard coin

Independent Situation:

Roll the die and flip the coin

Dependent Situation

Don't flip the coin unless you actually get the 5.

Answer 24

therefore what I did with my problem was correct? and A and C are the independent ones?

Answer 25

I never answer that question. Show me why you concluded what you concluded. Where's your arithmetic?

Answer 26

sorry I mean B and C because 13/20=0.65 and 13/65=0.2 therefore they are independent right?

Answer 27

Good work.

P(A) = 0.10
P(B) = 0.20
P(C) = 0.65

Always being on the look out for completeness (.10 + .20 + .65 = 0.95). We don't have the whole distribution. That may be fine.

IF A and B are independent P(A and B) = .10 * .20 = 0.0200
IF A and C are independent P(A and C) = .10 * 65 = 0.0650
IF B and C are independent P(B and C) = .20 * 65 = 0.1300

If you lay stuff out so you ca SEE it and FOLLOW it, it is SO MUCH easier to explain and understand.

Answer 28

alright thank you :)