Conditional Probability: Basic Definition

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This is a sample video from my tutorial course on the Rules for Reasoning with Probabilities. In this video I introduce the basic definition of conditional probability as it's defined in standard probability theory.

[@dylanboyd2144]

Fantastic! My text book gave a sentence-long explanation of this and I didn't understand it at all. This video, on the other hand, makes perfect sense.

[@rodaf2]

Excellent intuitive explanation of Bayes theorem @ 3:32

[@Deltaplus_Coaching]

words are insufficient to express how well u have taught. thnk u v much sir

[@ranbhan11]

This is awesome stuff mate. I have been reading about these things in my lectures but somehow wasn't able to connect the dots since I had not studied them at UG level. Now it makes complete sense. thanks to you. Looking forward to seeing more videos.

[@PhilosophyFreak]

@leothelion634 Yep! P(2/odd) = P(2 and odd)/P(odd), but P(2 and odd) = 0, since there are no cases where a dice can be both a 2 and odd. So P(2/odd) = 0/.5 = 0. Same result if you work out P(odd/2).

[@gstarrrrr8701]

Referring to 7:24 can someone please name an example where P(A|B) = P(B ^ A)/P(B) but A is not contained in B?

[@maryglantz5185]

Thank you for explaining so clearly why the rule is what it is! This is tremendously helpful.

[@leothelion634]

The video was excellent but i had thought running while watching,
Does this rule still apply if the probabilities are say: landing on a 2, and rolling an odd number. Does the equation work out to be 0?

[@oliviar4683]

Thank you so much! I love when teachers actually explain the thought process behind formulas, it truly makes it so much easier! I love the reference to the darts :)

[@stathius]

Really nice videos, thanks a lot. I think in the end you meant P(2)=1/6 though and not 1/2, no?

[@mpgrewal00]

Very good video.. perfect explanation.. You are perfectly correct, most people just cram the formula but they do not know why it works.. now they will know after watching this video

[@TeddyJohnson]

Please make more probability videos. They are very helpful.
Thank you

[@nkrisztian100]

I also wonder where 1/2 came from in the last example. I think it should be 1/6 both in the numerator and the denominator.

[@yusufmoallim4667]

I was always wondering why would the second trial depend on the first trial. I have never known it's the same trial. thx

[@nischalg3780]

awesome buddy this my fifth video on conditional probability and i feel like i understood something tnx for the video its awesome

[@morrisseyka]

Very good intuitive explanation; only 1 question..... how does P(2) = 1/2 in the P(E|2) example?

[@redberries8039]

...same Q

[@Maurinhuoo]

It should be P(2 and E) = P(2) = 1/6 divided by P(2) = 1/6, which is equal to 1/6 * 6/1 = 6/6 = 1.

[@KISHULUV]

Thanks Kevin, this video was really helpful and I got the better visual understanding of Conditional Probability :)

[@ppaco42]

no my friend the..your quote is remarkable but P(2)=1/6 in a time space based on the probability of rolling 2 in 1 and adding sample space of omega if you consider that equilibrium can be achieved by finding light in your inner self and balance body and mind totally harmonised with nature..

[@boriquadominicana]

BEFORE I WAS BLINMD BUT NOW I CAN SEE I just had the biggest epiphany on earth thank you for this video lol I had no idea there was even a reason for this formula LOL

[@imransyed2751]

Good video. very clear explanation!

[@bluerain624]

Thank you, this was very helpful and easy to understand!

[@udeyeightynine]

Great. Really well done

[@harivadher7271]

Same that I was looking for...👌

[@aaabbb-xb8fk]

great explanation

[@jeromebashong855]

Best explanation

[@OthmanAlikhan]

Thanks for the video, it was intuitive =)

[@lenintg]

Very helpful... Thanks.

[@DrStrangeLove2050]

You really helped!! Thanks!!

[@rrtt1995]

Well done !

[@SiDanil]

crystal clear. THANKS

[@LizziesKindaBeast]

I have to give a presentation on this tomorrow I'm so scared I'm gonna throw up I don't understand this.

[@g1e1o1r1]

great video

[@kj21feb94]

Thank you! This was very clear,

[@majidsheraz8098]

Thank GodYou saved my lifeI was nervous and worried about my this topic I was thinking maybe it is impossible to meBut you made it possible for me to solve alot of such problems

[@gorgeousgye]

Thanks man.

[@tsw_hussen3635]

thanks

[@bezuglich]

Very well spoken, but Man, you talk like you've got a taxi waiting downstairs . . .

[@parvezyendigeri3593]

Damn that was too good

[@redberries8039]

how does P(2) = 1/2 in the P(E|2) example?

[@ntuthukomthiyane5017]

great