Are mutually exclusive events independent?

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Are mutually exclusive events independent? I get asked variants of this question frequently, so it’s evident that some students confuse these two concepts. The one sentence summary: If A and B are mutually exclusive events, then they are independent if and only if P(A) = 0 or P(B) = 0. I take a more detailed look in this video.

It's good to be back. I will post many more videos this year.
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I have been puzzled by this point for a long time. You explain this concept really clearly. I am grateful for your explanation!

jingyiwang
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Very clear, that's the conclusion I had looking at the mutually exclusive A & B, only dependence between A & B can explain why (A and B) is 0

isabellal
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Thank u so much sir for ur wonderful explanation. I have asked the same question to many others who couldn't answer my question satisfactorily bit it is u who explained my doubt the way I wanted.

arpitapaul
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Thank you so much! I have a test on this material tomorrow, and now I will not fail! :)

anandkrishnan
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upload as much as you can about this topic, I'm a cs student and your vids really helps. :) thanks

dwadwadw
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So very good. No literature I know addresses this issue.

normanremedios
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It's like if your parents say, "You can have a cat or a dog but not both". By picking a dog (The right choice), you know you won't be getting a cat. So the probability of getting a cat depends on getting a dog.

malirk
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When you dont understand never go to comment section

rachitdavecan
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Thank you for the explanation! You explain it very clearly!

Theo.
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Exactly what i was searching for
Thanks alot

birendrasingh
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This is probably a big philosophical question, but does this imply that mutually exclusive events are in some sense causally related?

Cleisthenes
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Mind blowing explanation
check if you could add some numerical examples in your videos too.

MrMohsin
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the best teacher ever. thnkyou so much

fransiscamellyana
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Best video ever <3. Thanks so much.

lehoang
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Suppose 2 buses cross some point between 7:00 am and 8:00 am bus A crosses after every 7 minutes and bus B crosses every 11 minutes, are both events mutually exclusive and independent?

advancedappliedandpuremath
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Thanks! I could write something on my test! I am super thankful 🥳

arushiacharya
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👌Thank you for all of these videos, really!

likestomeasurestuff
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Sir, if for the mutually exclusive events we consider A=The event of getting an odd number on a fair die and B=The event of getting an even number on a fair die, won't we get that the two events are dependent on each other when in reality they aren't?

sunerawijeratne
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A: first die lands 1
B: second die shows larger number than first die

The answer states that P(B|A) = 5/6 and P(B) = 15/36 (by considering all combinations)
so A and B are dependent which seems to make sense.

However, A and B seem like mutually exclusive events to me as you can’t have 1 AND a number bigger than 1 at the same time. So shouldn’t P(B|A) = 0? Even tho the previous answer 5/6 seems to make more sense intuitively.

jillian
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Sir if you are reading this please help ok?when two separate events or trials are happeng say roll a dice and flip a coin, flipping coins and rolling dice have different sample spaces.What does and actually mean in this case?That region if intersection in venn diagram although they dont share the same sample spaces?And also is the and concept of that addition rule the same "and" we refer in multiplying probabilities or are they different?

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