Mutually Exclusive vs Independent Events

Two events that are independent do not have to be mutually exclusive, or disjoint.

[@anim1-21]

This is short and easy to understand! Thanks!!!

[@saberjan4946]

Great teacher , I found it really helpful.... keep it up

[@haldur86]

Thx man, first picture/slide was really helpful!

[@INSANEcuber]

A life saver you are.

[@roltgen1]

Thank you; great example

[@maysterchief]

Sorry it wasn't helpful. The main thing to remember is that Mutually exclusive events are events that CANNOT happen at the same time.

[@racinerobinson]

the explanation was great but the example was bit hard to relate to since I don't have common knowledge of a deck of cards.

[@Truckito2007]

Hey, for whatever it's worth, i thought this was very good. You can't please everyone :) keep up the good work, man. I'll be referring to your vids for help. Thanks.

[@Pratyush1s]

THANKS, FOR SHORT AND CLEAR CONCEPT. In last Q- Are "face card" and "king" Independent or Mutually Exclusive ? A- Neither Independent nor Mutually Exclusive. P(Face Card/King)= 1 ; P(King)=12/52 Therefore, P(Face Card/King) not equal to P(King)-------- Hence not Independent. P(Face Card and King)= 4/52 i.e not equal to 0 ---------------- Hence not Mutually Exclusive.

[@Rusnurmat]

Hi guys,if someone knows I have only one question, the JOINT and NON-DISJOINT events are the same thing or not? please help me with this. and if this possible, explain if NO then what is this...

[@Mephistahpheles]

"Two events that are independent -do not have to- _cannot_ be mutually exclusive"

[@denizacar9025]

Not, quite, Sir. This is a false statement. Two events can be independent and mutually exclusive if one of the events is 0 (of course the 'given that' event can't be 0 as you can't divide to 0, but the other event could be 0). It is important to clarify that two events can be also neither independent nor mutually exclusive.

[@quantstyle6448]

They are two different concepts but why can't they can both exist together? Getting heads or tails on a coin flip is mutually exclusive. Two coin flips are independent. Both situations can exist together, if we're flipping the coin twice.

[@brandonryan1588]

After Im done with stats Im going to eat then smoke- 0:48

[@damienfis6052]

Think i'm more confused then i was before watching this.

[@PedroBarba1970]

Math aside, can you clarify why a "red card" and a "spade" are dependent events?

[@abnormal4327af53]

Pedro Barba when the probability of any event changes due to another event, then the event is dependent event. When you know you have picked up a spade, you know right away it's not red, because spades always are always black . Thus by picking up a spade you change the probability of the card being a red to 0. As the event of picking up a spade changes the probability of the card being a red, being red isdependent to being spade.

[@Black182heart]

@@abnormal4327af53 isn't that the same with everything? If I get head, I know for sure I didn't get tails.

[@harisasif2639]

@@Black182heart Two events A and B are dependent if the probability of event B changes due to occurrence of event A. In your case, tossing a coin once is just a singular event. However, if the coin was tossed twice, then if you get heads on your first toss coin it does not mean that you will get tails on your second coin toss. In other words, the two events are independent of one another.

[@sebakoli6781]

really helpful. thanks

[@amodabsoul]

God blessed you teacher 😍

[@schang_lh]

So basically, if the two given variable are independent, then they're not disjoint, and vice versa?

[@MrRyanli]

Love it !!!! :)

[@spookybrojo7186]

A spade and red card aren’t mutually exclusive because you can have a spade that’s red

[@paranghrahimi]

p(a and b) = 1/4 and p(a and not b)=1/3 are p(a and b) and p(a and not b) independent?

[@franciscochavez1709]

I think the author had a mind-slip: IF P(A|B)=P(A) THEN events A & B ARE independent.

[@allstarz69z]

thk u so much!

[@mathteacher2651]

Well done!

[@ccuuttww]

thanks

[@parthchhatre1656]

Very helpful

[@proshakshin3875]

you sound like Tobey Maguire

[@d.pressley1749]

Pro Shakshin aha he fors

[@d.pressley1749]

He does* I meant

[@vineetmadaan2940]

good job.....but in case of trivial, both can be possible simultaneously.....

[@SuperBrian3344]

Remember to but your "S" in their...THX ALOT anywyas

[@Muchaaachooos]

"events that cant happen at the same time" is that P(AUB) or P(AnB)

[@mysmallcap]

n

[@gooddeedsleadto7499]

Why is pulling red card & spade not independent or dependent? It is not intuitive Yes the probability, given it is spade it is red is different from the probability it is red. why do we call it independent?

[@EpicPwnzor1337]

This didn't help at all, it's like learning probability with a jar of marbles, all over again.

[@andybeyond9546]

If Lil Pump stayed at Harvard

[@allisonbenjamin6020]

Thank you, this was helpful!

[@peaches__]

excellent!

[@potaytopotawto8704]

"Two events that are independent do not have to be mutually exclusive, or disjoint." You're right that they don't have to be. But you didn't mention that they HAVE TO NOT BE. I mean: "Two events that are independent HAVE TO NOT BE mutually exclusive, or disjoint."

[@potaytopotawto8704]

This video is misleading. For any two events that are both non-trivial, which means that there probabilities aren't 0, independent and disjoint are opposites, just like how yes is the opposite of no and true is the opposite of false. Independent = not disjoint. Disjoint = dependent.

[@Aadil2Adnan]

This helped, thanks :D

[@vivektiwari1353]

Misleading video.. Ace n red cards can never be independent.. Becoz 2 ace cards also red So if we draw them one by one they will affect each other.. And the way he compared..data..it's totally misleading concepts using mathematical tactics

[@lili2003]

Not the best example