Basic Probability: Conditional Probability, Independent Events, and the Law of Total Probability

In this video we discuss some basic probability concepts such as conditional probability, independent events, and the law of total probability.

Topics and timestamps:
0:00 – Introduction
0:31 – Parameterizing distributions and histograms
8:39 – Set theory (union, intersection, etc.)
13:05 – Probability
18:08 – Conditional probability
31:25 – Independent events
38:00 – Law of Total Probability

#Probability

[connorbaldwin]

AE 501 Thank you Professor Lum, this is a well needed refresher into the world or probability before getting into the rest of the content for the week.

[evansteele]

AE501: Thanks for the refresher on basic stats. Like others have mentioned, it has been a while since dealing with statistics and probability, so the concepts covered are welcomed recaps. Probability is always an interesting topic, and the Monty Hall problem always brings vibrant discussions!

[iremerkan]

AE501: Great refresher one of my favorite topics, Probability! I don't remember learning about Law of Total Probability in my past Probability/Statistics course or in another math course. Thank you for covering!

[meganmcmahon]

AE 501: I just spent some time reading the Wikipedia article on the Monty Hall problem and I think it broke my brain! The only way I could wrap my head around it was thinking of it as choosing the "knowledge" of what is behind 1/3 door, or by switching choosing the "knowledge" of what is behind 2/3 doors

[ToanLuu]

AE501 I remember this course was taught by business professor in my undergraduate. However, this is very helpful to when you are working at the manufacturing environment and troubleshoot the defect caused for thousands of different parts and thru multiple different process.

[elijahleonen]

AE501: Great introduction video and helped me understand the basics of probability!

[NataliaErmolaeva-iq]

AE501: Thank you professor for the refresher on Probabilities. I have not seen these throughout the undergraduate program, although in my opinion it should be taught in more engineering classes. -Natalia Ermolaeva

[Kayla_Kang]

AE501: I really enjoyed the simple examples to explain the multilayered probability problems. It definitely reminded me of the Punnett Squares for genetics from Biology :)

[PathwaytoEngineeringDegree]

AE501: taken introduction to this course in high school called “sets” I really enjoyed it but never I’d see it again in grad school, beautiful lecture!

[brianas]

AE501: Probability is not my strong suit but the explanations and visuals in this video really helped me understand. Great review

[solomondawit]

A501: This is very interesting topic and well explained. Thank you 🙏🏻

[kurtkara]

[A E 501] The Law of total probability explanation you give really helps to complement the notes.

[alviehaider]

AE501 Lat time i studied Probability was 7 years ago. This was an amazing Refresher

[nathanyoung]

AE501
I think this was my favorite one so far. Last time I learned about probabilities the professor was horrible, but I feel like this just washed all those bad memories away.

[RajChhabraUW]

AE501 Great introduction to probability

[AlejandroMartinez-nvri]

AE501: I have basically forgotten everything I have learned on probability up to this point. Thank you for the lesson. Question, in your final example for in part d when it ask to add H and I to the diagram, is it assumed that any part of the diagram that is not H is considered to be I?

[anthonynguyen]

AE501
It's been a long time since I had a lecture specifically on probability (since high school!), so this was a helpful refresher of probability. I'm surprised that topics like this weren't required in my undergraduate coursework.

[sorenwitter]

AE501
I noticed on part C of the total probability example (around 46:15), the fractions add up to 77/250=0.308. However, 78/250=0.312 and that agrees with part E of the example. Am I misunderstanding something in part C?

[tranpham]

AE501
I'm surprised my undergraduate coursework didn't require topics like this.

[mattpierucci]

AE 501 - What's the reasoning for having the two different definitions for variance for large and small sets?