#Statistics
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hearty zinc
Okay, the first step is to read them to make sure you understand what is being asked.
So what do you think 1a is asking?
indigo merlin
if they are mutually exclusive
which is if they don’t overlap right
i did that question but i’m kinda unsure how to word it
hearty zinc
Okay, two events are mutually exclusive if and only if it is impossible for them both to happen.
That is, A and B are mutually exclusive if and only if P(A&B) = 0.
indigo merlin
okay
hearty zinc
So, if we have a Venn diagram (technically an Euler diagram) depicting the probability of each region occurring, then which two events cannot co-occur?
indigo merlin
A & C?
indigo merlin
ok i’m slow but is it bc they don’t overlap or not
hearty zinc
ok i’m slow but is it bc they don’t overlap or not
Yes. At least I assume that's how we're meant to interpret this diagram.
hearty zinc
so how about 1b
I think they made a typo there, because A and B are not independent, and that wouldn't help us with C even if they were.
I think they meant to say B and C are independent, and I think you should note the typo to your teacher.
hearty zinc
Well, two events A and B are independent if and only if P(A|B) = P(A). This is read as "the probability of A given B is equal to the probability of A." The probability of A given B refers to the probability that A occurs if B occurs.
indigo merlin
okay
hearty zinc
That is to say, we're only considering outcomes where B occurs, and determining in what proportion of those A occurs (loathe though I am to use frequentist language like this, I don't think you'd understand otherwise.)
indigo merlin
okay
hearty zinc
... you're not giving me a lot of indication that you understand anyway.
hearty zinc
Okay, well let me know when you're done with that or if you have questions. And ping me.
indigo merlin
alright