The Law of Total Probability

I discuss the Law of Total Probability. I begin with some motivating plots, then move on to a statement of the law, then work through two examples.

[sudhakarreddy]

Perfectly explained. Couldn't be better than this. Thank you so much and please continue the work.

[jaretwilliams]

I have to take an engineering statistics course this summer and as someone who has not liked statistics much in the past, your channel and videos are a lifesaver!

[Saeed.n]

Mate this is the best of all probability youtube channel. Thank you so much I learned a lot

[williamtownsend]

Thank you for being clear and precise with worked out examples. This video greatly helped me with some proofs for advanced econometrics.

[chajataal]

Thank you, finally someone who explains something difficult in an easy way

[shashinidulakshi]

simple, , but explained perfectly, , , thank you very much again and again

[gloystar]

Thank you! Now I totally understand this concept. Amazing illustrations!

[constanzamiguel]

Amazing video, super clear and easy to follow. Thank you!

[sergeijegorov]

watched a ton of material on this, but understood only after this video. Thanks a lot

[ChocooWafeer]

This vid is sooo good! Everything is crystal clear. Thank you so much for sharing this!

[Colors]

I don't know if I or my Professor should feel ashamed that I didn't understand a thing about this. Sir You made everything looks so much easier.

[kennethmcdoogle]

This is the best video on this topic I have seen. Really really good work mate.

[amintahiri]

Thans you mUch Im in love with ur explanation its like im getting prived lessons from my last professor of probability theory. Thanks alot 😊😊

[thedramatiks]

This was so helpful. Many thanks, wish you immense growth!

[azombieee]

Thannnk you. This formula and sorting the data was throwin me into space lol - you explained it so well!

[thomasoffenbecher]

Very excellent video. You explained the law very clearly and with good examples. Helped a lot!

[augustinejunior]

Thank you. Let me just subscribe
I never knew that there is the best channel for probability

[navidahmed]

the best explanation i have ever heard

[Bridgelessalex]

Hi Jeremy. Thank you so much for the video!

I have a quick question regarding the sample spaces of the partition and the even A. For example, in the second exercise (randomly selecting a ball from a cup), the sample space of the first event (selecting a cup) is {cup 1, cup 2, cup 3, cup 4}, however, the sample space of the second event (selecting a ball) is {blue, red}. Since the sample spaces are different, could you please elaborate on why would be the law of total probability works in the case?
Thanks in advance.

[saketkumar]

if u put all the balls in one urn then P(blue)=0.3823. BUT WHY IS IT DIFFERENT FROM THE FIRST ANSWER, IT SHOULD BE SAME, ISN'T IT?