Conditional Probability (4 of 4: Determining reduced sample space)

[nibbo]

Beautiful the explanation of the Bayesian theorem without even explicitly saying so. Beautiful demonstration even a toddler could understand conceptually what it is.

[Phymacss]

I have a math final exam in 2 hours, I just wanted to say thank you for helping me a lot! You’re the best teacher

[Qaos]

Glad to know my intuition on this topic works!

[k-pop_tuts]

This is so helpful thank youuuu, got my yr 10 methods exam tomorrow and I had a mind blank of this stuff bahah, good to jog my memory

[peteBS]

Hi everyone, Apologies for the repeat question. I posted against the previous video but unfortunately no responses so far. As we all know, Eddie is a fantastic, charismatic and enthusiastic math teacher and I'm sure he is must be correct in his video above. However, there was something he said that challenged what I thought I knew about the importance of Independence in Probability. For multiplication of probabilities to be valid, the two events MUST be Independent i.e. like flipping a coin multiple time. In this example, the relationship between the Manager and the Failure rate is clearly dependant - for whatever reason, increased Manager time results in less failures! Whatever this manager does (or doesn't do) somehow affects the failure rate of bulbs. The person above/below talks about "correlation" but as far as I can understand, that's irrelevant because independent events have a correlation of zero i.e. they are unrelated? Really hope someone can explain please otherwise my understanding is all screwed up!! Many thanks, Pete

[torresalatres]

P(D|~M)=P(D)=3%, P(~D|~M)=P(~D)=97%.
It's easy to proof that events are independents. Construct a Venn Diagram with ~D and ~M events or construct a Venn Diagram with D and ~M events.
Then professor have an error tree diagram.