Probability & Statistics (10 of 62) The Probability Function - Flipping Coins - General Formula 1

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In this video I will find and explain the general formula for probabilities of flipping 1, 2, 3,... coins.
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[@adityag.s1069]

My dear sweet god.. What a way to explain Pascal's triangle . This is mind-blowing !!!

[@anyamehrotra5249]

You saved my life!!! I have been looking for a channel on KZbin that actually explains things, and i found it!!!! :) :) :) :) :) :) :) :)

[@MichelvanBiezen]

Welcome to the channel! (There are almost 6000 videos).

[@khaynellopecillo7645]

I love that you write everything on the board before explaining. So before I start watching the videos I copy the writings first and just add the comments you say and explain.

[@MichelvanBiezen]

Glad you liked it. 🙂

[@MichelvanBiezen]

That's really good way to learn.

[@jaijeffcom]

This one starts to get fun. Working out the coin tosses and illustrating the link to binomial expansion and Pascal's Triangle drives it home.

[@bbdnuh1028]

wtf is this sir, I have been studying for in school for more than 10year and almost a year in university and this is this first time I learn about this masterpiece holy shit thank you very very much I hope god help you!!

[@saraw8951]

this video is amazing !this is the first time that I understand what probability is about!! thanks a lot!!!

[@shekharchander5173]

great video especially pascall's triangle concept thanks

[@femloh]

Ohhhhh this guy is good. Very excellent explanation of the 2^n principle.

[@nadinewilliams8603]

Wow!!! This guy took a few minutes to make sense of years of gibberish in my head! Biggup urself. U a real don dada!!!

[@MichelvanBiezen]

Glad this video helped. 🙂

[@m.bosman25]

Thank you sir and God bless you. You are so helpful and the best teacher ever

[@Joeydoesmedicine]

The 1-4-6-4-1 is the ratio of a Heterozygote X Heterozygote cross, for a continuous trait. I keep seeing this basic probability in my genetics class

[@MrWinter2]

Thank you so so much! I love these videos! :)

[@tinaphiri2026]

This is my first time enjoy probability. Excellent 👌 explanation you are the best sir

[@MichelvanBiezen]

Glad the videos help you in your understanding.

[@EP-rq3pn]

Just brilliant, thank you!

[@boadiwiseadomkojo4366]

I've watched only the first 10 videos and am really enjoying the lessons.😇😇😇

[@MichelvanBiezen]

Glad you like them. 🙂

[@boadiwiseadomkojo4366]

@@MichelvanBiezen I'll continue to watch he rest for better understanding

[@Neno0o911]

before 10 minutes i was hating the course, now i am in love with it. THANK YOU Sir !.

[@MichelvanBiezen]

Excellent. Enjoy it.

[@nursuludairova0407]

we are watching whole lesson, and i have to say that you are the best lector. you explain четко

[@MichelvanBiezen]

Thank you. Glad you found our videos. 🙂

[@MrWinter2]

Wow!!! You did very well; thank you ~

[@zennamfan2663]

Thank you teacher

[@oroubakannout8048]

Thank you so much for your generous help. It helps me alot to understand this chapter.

[@MichelvanBiezen]

You're very welcome! Glad you found our videos. 🙂

[@xaynlaa5947]

God of probability

[@hamzaabd8140]

great!!

[@Clifffffffffford]

Thanks!

[@10E10ABLE]

sir i am indian and your methods are wonderful and thnks for giving this awesome apporach

[@MichelvanBiezen]

Welcome to the channel!

[@erwinjedracho640]

Pretty neat.

[@akhilvaruun9017]

Sir .. you are really awesome.perfect explanation.thank you sir.please upload calculus lecture if possible..

[@MichelvanBiezen]

+akhil varuun There are a number of calculus playlists already. Just go to the section: PRECALCULUS, TRIGONOMETRY, CALCULUS, AND DIFFERENTIAL EQUATIONS

[@m.bosman25]

I really don't understand how you count and came up the probability of 4H, 2T using the Pascall's triangle, i.e. How do I know that the nr 1 before 6 is corresponding 6 Heads, nr sex 5heads and 15 correspond 4H and 2T? How did you come up with that plz?

[@removabledisk9471]

Great

[@24kdracula72]

How to know event and Pr(x)?

[@sandeepdn6039]

Wow brilliant explanation especially with pascal triangle

[@MichelvanBiezen]

Glad you liked it

[@samanthapikus3178]

Hi I never did bionomial expansions at school and have now idea how you derived the patterns. Would you mind explaining how you get (a+b)3 = a3 + 3a2b+3ab2+1b3

[@motivationformuslims1214]

you start with the highest power as the power of the first variable ( a ). Then, you keep decreasing the power of the first variable ( a ) and keep increasing the power of the second variable ( b ). So a goes from 3 to 2 to 1 to 0, while at the same time, b goes from 0 to 1 to 2 to 3.

[@motivationformuslims1214]

The constants are obtained from the triangle by adding the previous two numbers as explained in the video.

[@andrewpersaud4144]

i thought it was one minus H, etc when the board first popped up. i was like well damn, that escalated quickly.

[@graymatter6810]

wow this was amazing... thx

[@MichelvanBiezen]

Glad you liked it! 🙂

[@akhilvaruun9017]

oh..i definitely watch them after finishing these lectures but thank you sir.Actually i'm preparing for GATE(Graduate Aptitude Test in Engineering GATE) exam.

[@MichelvanBiezen]

+akhil varuun Good luck on your test!

[@sahymyratsatlykov2525]

thank you sir for the videos. Can you please open the subtitles.

[@MichelvanBiezen]

KZbin provides a button you can click on the bottom to turn on the subtitles. That is how it works on KZbin for all videos.

[@saumyaverma02]

Thanks Professor, have made any videos on Regression? Regards

[@MichelvanBiezen]

We have some videos on linar regression in our financial mathematics section, but we have not yet done a full coverage of that topic. That would a good one to work on.

[@marcusjoule628]

how do you know how to calculate different combinations for coins im so lost how you got 5 combination on 4 coins

[@MichelvanBiezen]

Note the "........." which implies that the pattern continues. There are 16 combinations for 4 coins.

[@treasuretheint6822]

thank you sir

[@MichelvanBiezen]

Most welcome

[@communityfirst991]

what if two coins are tossed twice

[@carolinaestrada3509]

this is a valid method for coins only?

[@MichelvanBiezen]

Anything that has a random binary outcome would work.

[@jphamzz]

Now we see a pattern. Aight? :P

[@Infinitesap]

AWSOME AWSOME AWSOME AWSOME AWSOME

[@aron2971]

pascal law aasome

[@MichelvanBiezen]

😂😂

[@24kdracula72]

How to know event and Pr(x)?