Coin flipping probability | Probability and Statistics | Khan Academy

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In this video, we' ll explore the probability of getting at least one heads in multiple flips of a fair coin.

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Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!

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Albert Einstein once said:
“If I had an hour to save the world
I would spend 59 minutes defining the problem
and one minute finding solutions”

This video is about this attitude.

kenufak
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You can make it even easier. For 10 flips there are 2^10 possible combinations, because we got only 2 outcomes H or T. 2^10 = 1024 and there is only one case where we get all T. So to get at least 1 H in 10 flips: 1024 - 1 / 1024 = 99.9%

uvitis
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Mikhail tal once said" I lead my opponents into a deep dark room where 2+2=5 and there is no way out" that is what happens to me when my math teacher tries to teach me math.

devvanbutler
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SAL YOURE THE BESTTTT watching this the night before my 2nd year genetics midterm tyty

mehrinimtiaz
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I wish I knew what you were talking about, guess I'm just too dumb..

walid
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WOW "at least" problems are so much easier now. They used to be the hardest thing, but now they seem like a piece of cake! THANK YOU SO MUCH

smitrib
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What is the probability of getting head on college?

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This was a really great video. Thank you!

jakegrist
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Sal is one of the most hardworking men on this planet..Hats off sal

Niharikajain
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Who is here trying to jam everything in you’re brain😂😂

Thecoolconster
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I remember this. I learned it from here.

rumpelstillkills
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i watch your videos because they are entertaining

saminm
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99 problems, but getting heads ain't one. Boom.

TheMrlolatu
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Thank you! I finally understand it good :)

richieharrinarine
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An even easier way is that there is a 1/1024 probability of having all tails so there are 1023 other probabilities left which will have at least 1 heads.
so, its a 1023/1024 chance.
In any case there is 1/ total possibility of having all tails so you can just subtract 1 from the total probabilities.

_itsnor_
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I was kinda stuck there. You saved my time.

jubaerad
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Seriously not that hard. Great video bro. Helped a lot

wedaopps
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I am a professional equities trader and these same concepts are used for trading probabilities. This is my first time on your channel so if your not already a trader perhaps you should look into it. Trading is all about probabilities and really just a numbers game, seems like you might be quit good at it...

cleverresponse
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This is super useful to know for blackjack :P

andrewdixon
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One person, one coin, first flip 50/50 chance. What if you change the coin, or the person, or both on the next flip? If both, would that not change the probability back to 50/50?

deanaldridge