L01.9 Countable Additivity

MIT RES.6-012 Introduction to Probability, Spring 2018
Instructor: John Tsitsiklis

License: Creative Commons BY-NC-SA

[fedorindoukaev]

It is not correct to use "discrete" and "countable" as synonyms, because for example the set of all rational fractions is countable, but I dont think it's valid to call it discrete

[yukinahinata]

Very interesting question, thank you sir.

[MN-hmyi]

What about the validity of
1/∞ = 0 ???
Or better, what does it mean to put an infinite value in a division process ?
For me, I can't bear the idea of having this without limits being involved

[jackjiang]

!!! 【8:04】 Countable additivity axiom: infinite [Sequence] of disjoint Event

[SecretEscapist]

Thank you so much for this amazing lecture 🥰

[uselessgarbagehandler]

Can anyone explain why the bounds of the sum around 2:30 change from n=1 --> infinity, to, n=0 --> infinity when factoring out the 1/2?

[debojyotisarkar]

What about the answer 1/3 in the first example? Is it correct or wrong?

[nishant]

Can anyone explain how P(2)= 1/2^2 and other even numbers also???

[theblinkingbrownie]

Nearly made me have an existential crisis there

[doug]

Real line as in the real number line is not countable? And the not in sequence?

[BELLAROSE]

Set 1(squared-values)
Set 2(cubed-values)
Then 2 more sets with the even and odds of those sets?….
Gets Complex-real-quick …

[dlisetteb]

Why is excluded the event "no head before a tail shows up"? ( which would be P(0) )