General Probability Rules (Full Length)

[@emilydisalvo4237]

Mr. Tarrou, Thank you, thank you, thank you! I take AP stats online because my school does not offer it. Since it is an online class, I do not have the luxury of a face to face teacher, but you have made this possible! Thank you so much for helping me prepare for the exam. I really appreciate the quality and enthusiasm evident in all of your videos. Emily

[@profrobbob]

You are very welcome Emily and THANK YOU for subbing and choosing this channel to study with! We are so happy to hear that you found it so helpful and appreciate you taking the time to share your experience and appreciation with us! If there is any way to share this channel with your on-line teacher or with your school so ALL future students taking the same class could also benefit from this free channel...we keep growing and they will know where to find free study help! Happy Holidays and I hope you pass that exam like BAM!!!

[@profrobbob]

Glad I can be there for you and you continue to return for your reviews:) Please help my channel growth by sharing my channel and your experience with other students:D Thanks for watching!

[@TheChulisnaky7]

Thank you for you vids. I am a senior at the University of Connecticut and as an adult student I find this very helpful!

[@profrobbob]

Thanks for watching...your enthusiasm and support helps me continue:)

[@profrobbob]

You are soooo welcome, and thank you for watching and supporting. It's always nice to hear that you are able to help so many people with the click of a single button. I hope I can continue to help through graduation!!!

[@profrobbob]

Sorry Glen, I just saw that I also left this one un-replied to. THANK YOU for this extremely heartfelt compliment, and this is why I continue to work so hard to build this channel! I just want to share my passion for math and give students the opportunity to get free math help if they choose to take the initiative to seek it out like you did. Now go continue to spread the word and make me the #1 choice in Australia:D

[@mamba8_24]

BAM! Still back here after a total of 6 years using your channel. As I begin my senior year in AP Stats, I feel confident that I can turn to your channel for any sort of help or guidance I may need. Your video quality is just mesmerizing and if I was being honest I could not have aced calculus without you. Thank you so much Mr. Tarrou!! Best wishes from NC

[@profrobbob]

FYI...for my stats playlist please note that KZbin has removed all my annotation corrections that I added for the wording of my condition checks and conclusion of significance tests so PLEASE pay attention to the way they are worded in your current book!!! WOW...great to see you back again year after year Ross, I wish all my subscribers were as loyal as you...BAM!!! ...I assume you have shared my channel info with this years teacher and all your classmates already too:) Keep us posted when you graduate so we can congratulate!!!

[@profrobbob]

That's great to hear that I could help clarify things and better prepare you for your AP test friday. You've got one more day till you go into that room and pass that test with the confidence you have acquired after all this reviewing:) Good Luck!

[@profrobbob]

This year I did Geometry videos while teaching 4 subjects with no planning period. As my video library becomes more complete and I have more time, I will go back and improve some videos and add to areas that are a bit weak like my probability videos. I hope you find the rest of my videos helpful and you figure out your probability questions...they are difficult.

[@gjironman13]

the full formula including compliments and overlapping (and) is really effective for finding things out. Kinda thinking as I'm typing but you have the knack of giving a whole new perspective to the tings we're doing in an Australian University. It has really helped solidified my understanding more! You're a good role model for a maths teacher- so enthusiastic! Thanks so much

[@profrobbob]

I'm glad you landed on my channel while you were seeking extra help and find my videos so helpful! My Stats library is pretty complete, I hope you get all the help you need from it for this semester. Good luck with that half/half class next semester too, who knows, I might have some videos that will help you from my selection of over 400:)

[@profrobbob]

Thank you very much. Just starting making videos last school year, I tried to keep up with my Precalc class and Statistics at the same time. Since word problems involving probabilities took me a lot of time to make with everything else I did what I could. I do plan on filling in the gaps next school year when my schedule is not so frantic.

[@profrobbob]

It is my honor to be able to help. I hope you do great in your class and you pass your AP exam with flying colors:)

[@profrobbob]

Thank you for watching. I hope you do great on your next test:) Please help me by spreading the word about my new channel.

[@colleencope7623]

I spent the better part of last Sunday watching your videos. I only wish I found them sooner for my class! Thank you so much; you have a great way of explaining things.

[@profrobbob]

Tree diagrams are good to set up when you have a sequence of events and Venn diagrams are usually better when there is one trial/observation/event with multiple possible outcomes.

[@alyssabaer3054]

8:53 Why did you add .12 rather than subtract? The value represents the intersection. Thanks.

[@BonfittoDaGuido]

You literally save me before every exam! Great explanations on all the material you cover thank you!!

[@profrobbob]

Thank you...that's my plan, to keep them free and share them with the WORLD!...and the next part of that plan is to help the "world" find my channel! So please do your part and help me spread the word:D...and thank you for the powerful comment:)

[@TheChulisnaky7]

as an adult student at UCONN in my senior year I really appreciate your vids. They are very helpful even at a university level.

[@profrobbob]

If you look at the original way the information is given, .4+.3-.12=.58 and with the Venn diagram filled in you can just add the areas together, .28+.12+.18=.58

[@profrobbob]

The rectangle is your sample space thus has an area of 1. 1-.58=.42

[@profrobbob]

That is a video I need to do...but I have a long list of notes ready for videos I will be doing soon to keep ahead of a new class I am teaching this year. Sorry.

[@profrobbob]

:):):) Thank you! You are awesome for watching.

[@profrobbob]

The wonderful think about Venn Diagrams is that they prevent you from counting the overlap area twice so you don't have to correct for that:)

[@franciscoperez650]

Thanks for uploading this video, it is very helpful and I understand better now. I am in AP Statistics now. I watched your videos when I don't understand a topic. Thanks :)

[@profrobbob]

@bec2ab It's a bird, it's a plane, no... it's my KZbin Hero!!!! Haha. Thanks for watching and the very nice comment:)

[@xDaxtre]

This helps a lot. AP Stats is one of my harder courses this year, and it doesn't help that I have a monotonous teacher who doesn't like to waste time explaining everything going on. She insists we do the notes - which we do of course do - and understand most of the material on our own. This will surely help with my quiz tomorrow however, thank you.

[@profrobbob]

+xDaxtre hope you passed that quiz like BAM!!! Thanks for watching and please share my channel with your classmates and your teacher as an additional study reference for all her students after school! Please remind them all to like and subscribe to support these free educational channels too:D

[@profrobbob]

Sorry it took so long for my reply on your first comment!...keep watching and be sure to share with your friends:)) Thanks

[@welovearcticmonkeys]

Showed your channel to my teacher and he loved it! Thank you so much for making these videos!

[@profrobbob]

THANKS!!! We sure appreciate the support. ...and thanks for watching them:)

[@profrobbob]

I feel so honored to beat out all those potential football games that could have been watched instead...hahahahaha:D No really, thank you for the kind words and I hope I can continue to help. Please share with your friends, your support is what keeps me growing.

[@profrobbob]

You're welcome!

[@samamodeo-chavez1198]

i had that same question. thanks for the answer but i would like to know how you are you suppose to know when to use a venn diagram or the tree diagram?

[@sharonvarghese722]

I have an Ap Stats exam friday and I am reviewing watching your videos, thanks a ton , you are an awesome teacher kudos !!

[@profrobbob]

Go pass that exam like BAM!!!...just keep thinking...5555555555555555555555555555's! Sharon Varghese ...and thanks for choosing Tarrou's Chalk Talk to review with and subscribe to!

[@emilyfalcon5910]

Thank you so much for all of your help! These videos are the only things keeping me afloat in both my Statistics and Precalculus classes. You are the BOMB! :)

[@profrobbob]

+Emily Falcon BAM!!! Thanks for choosing my channel to study with and please take the time to like, sub and share this free educational channel with everyone to help us grow :D

[@wakaikozy6084]

This man is a genius

[@profrobbob]

I don't know about that but I do appreciate you choosing this channel to learn from...please like, sub and share it with everyone!

[@profrobbob]

I apologize and I can't disagree. These videos are only to teach the core concepts and probability questions can get very confusing. I am working hard to make a very good math channel and to avoid any issues in the future I make up my own examples and don't use ones from the book. Probability questions are difficult to make up, especially since I teach full time. At the time I was making these videos I was teaching 3 subject and doing videos on Precalculus and Stats in the same year.

[@leivonghliu140]

Chinese students need this! I will help spread these to my schoolmates. Thank you very much!!!

[@speedbirdifly]

Thank you Sir !! I cleared my confusion....very help full video..i have also watched intro to probabilities videos...very nice...it would be good if you solve some questions for more understanding....

[@turtlegirl17]

Thanks so much for this video! It saved my life.

[@triplemorris]

great video! however... I don't understand how you get .42?

[@bnhuo15]

please make a video on permutations and combinations

[@wangbrody9190]

my favorite teacher

[@profrobbob]

You are welcome student!

[@lexicao9545]

I am confused with the condition when I try to identify it in the question. Do you know any tricks that can easily recognize it?

[@profrobbob]

lol...You are sooooo welcome! I hope you will continue to make me you "go to" youtube teacher when you need extra help:)....please share with your other classmates who don't speak chinese:D

[@MagnetiXofficial]

This is somewhat of a particular question, but is the "c" in the notation for the complement of "B" truly an exponent, or is it a denotative superscript?

[@profrobbob]

denotative superscript. Thank you for watching:)

[@shrimpboyho]

Hey ProfRobBob, There is one error in your video. At 9:26 you have P(A U B) = .28 + .12 + .18 This is wrong. It should be P(A U B) = .28 + .18 - .12

[@profrobbob]

The great thing about venn diagrams is it simplifies the math. Once the Venn diagram is set up correctly it prevents you from counting the overlapped area twice, or multiple times. Without the use of the Venn diagram P(A U B) = .4+.3-.12 is .58, with the use of the Venn diagram P(A U B) = .28 + .12 + .18 is .58

[@shrimpboyho]

ProfRobBob oh, I get it! Thanks Mr. Tarrou!

[@drpeppergirl12]

you are the reason i pass my stats tests thank you

[@profrobbob]

You're welcome…thanks for letting me know and for watching my channel! I call it TEAMWORK…you take the time to seek out extra help and I'm there to teach it to you! I hope you have told all your friends about me too:)

[@Itzel4020]

wait on minute nine you added all of the probabilities but aren't you supposed to subtract the p(AandB)????

[@soniastyrczula9617]

This is an amazing review for the semester final! These videos are great thank you soo much for all the help!

[@profrobbob]

And thank you Sonia for choosing my channel to learn from and subscribe to!

[@dacit7659]

Hi Thank you Sir , your video it's a big help for me to prepare my report

[@profrobbob]

You're welcome...happy I could help and good luck on that report!

[@profrobbob]

Thank you:)

[@tharkrish]

how come P(AUB) is .28+.12+.18 shoudnt it be -.18?

[@Itzel4020]

yeah i understood it right after i had posted the comment haha you're an awesome teacher ^-^

[@Vandierke]

Thank you teacher.

[@genius1605]

I like the Garfield

[@profrobbob]

thanks...still one of my favorites since I was a kid!

[@saphiraazura2213]

I appreciate the videos but I can't help but feel that the problems shown and the way you teach uses problems much easier than those given on AP homework or practice multiple choice. I'll watch videos and understand the simple concepts but then my homework has much harder questions to work and I'm completely stumped.

[@freeland2010]

in my opinion , this is the best video,,and make a lot of sense for me,, thanks and will subscribe now,

[@profrobbob]

Fam…thanks for watching and subscribing!

[@vasudhakannan2963]

Thank you soo much, your videos are awesome!

[@profrobbob]

You're welcome...thanks for watching!

[@thies2us]

this video is so cool. thank you.

[@profrobbob]

You're welcome thies2us ...thanks for watching, learning and subbing to #ProfRobBob !

[@noahlanier7991]

For P(A and Math) why isn't it P(A) times P(Being in Math)?

[@profrobbob]

With a full two way table we can just ratio with all the information given. Since P(A and B) = P(A)P(B) only when events A and B are independent, this can be a check for independence between two events. If P(A and B) does not equal P(A)P(B) then you have shown that these events are Dependent and not Independent.

[@nhlekonkanyiso9834]

thank u Prof

[@jamilm672]

you ar the best...!

[@profrobbob]

+jamil m :)

[@glodielicious]

thank you soooo much. I wasn't confused like when my Chinese teacher teaches lol she's awesome but that accent :((

[@lexicao9545]

I am confused with the condition when I try to identify it in the question. Do you know any tricks that can easily recognize it?

[@profrobbob]

This is not going to be helpful as a trick, because the language can be difficult to understand, but work with a peer that is doing well or your teacher and read a bunch of these types of questions and try to figure out the condition together. Have them explain their thinking if they get the answer and you do not. And...don't give up! I wish I had time to do private tutoring and work through some with you but I don't...sorry:(