Intro to Conditional Probability

What is the probability of an event A given that event B has occurred? We call this conditional probability, and it is governed by the formula that P(A|B) which reads "probability of A given B" is equal to the P(A intersect B)/P(B). We look at an example involving the probability of being an alcoholic given that one is a man.

Conditional Probability Formula: P(A|B) = P(A and B)/P(B)

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[DrTrefor]

More Conditional Probability Examples:

[arcadian]

I entered wanting to learn math, and I exited with knowing I have a good probable chance of being an alcoholic.

[jesusaranda]

Took me nine minutes to understand what I couldn't get in a fifty-minute lecture. Thank you.

[ramtinshahali]

Took my professor 2hr to explain this topic and NO ONE could not understand a word of what he said while it took you like 5min to teach this and now I can solve all the problems he gave us. You're a lifesaver so thank you. Universities should understand having a PHD in math does not make you a good professor, being able to teach is completely different from having the knowledge. But you Dr.Trefor, have both the knowledge and you know how to teach math.

[simplematters]

Who’s here during covid19 online learning

[redwillowofdreams]

Stop reading the comments and get on with your homework.

[spicyboi]

As someone who is hard of hearing, I really appreciate the effort put into the subtitles, thank you.

[rileyregan]

You explained this better than my professor and khan academy COMBINED. Not sure why they made it sound so damn complicated

[felixhall]

Thank you!! I now feel ready for my exam tomorrow 😅 (anyone else in the same boat?)

[thegrinch]

I have a test tomorrow and I could never do conditional probability, but now you've made it seem so easy, so thank you!

[ExpertBustice]

This video was released on my birthday 4 years ago, and it has inadvertently been quite the present only now. Thanks for the aha moment, Dr. Bazett.

[abdulstarkousa]

I don't know how could people dislike your video it is harder to get than a whole discrete Math given by such a very good teacher like you, Good luck and keep awsome!

[jiovek]

this man really summed up what an hour's math lesson couldn't in less than 10 mins

legend

[rubiprieto]

You're a lifesaver💓Finals are coming up and this topic was giving me a hard time. Thank you! I'm definitely subscribing to your channel!

[MrLiamcfc]

Jack Whitehall you are a lifesaver bro

[limjenny]

Thank you very much, your proof have solved my question that haunted me for a year! Keep up the good work! Thanks a lot.

[L.Lagrange]

Really awesome video. Currently taking stats for electrical engineering and I really liked this conditional probability description

[MrArtbyart]

The best description that I have found. The venn diagrams are most helpful. Thanks

[jaspermartin]

whoa, you explain this better AND in a shorter amount of time, then the MIT guy. more videos please!

[nimeshibandara]

Been doing an assignment for maths the topic being chance, it asked to explain conditional probability, this is so clear and so easy to understand! I'm actually pleased with myself for understanding something so quickly!