Probability & Statistics (11 of 62) The Probability Function - Flipping Coins - General Formula 2

In this video I will derive the general formula for the probabilities of flipping n coins.

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[GenuinePeacefulTimes]

I think your inequities symbols are in the wrong order shouldn't it be k is greater than zero and less than n?

[akbarmirzo]

"and that's how we do that" yes that's how we do that

[slokisofttech]

you are great sir, your videos are awesomely knowledgeable.

[EP-rqpn]

Thank you very much, professor! I would love to go deeper and will watch the rest of the playlist. Have you by chance made any videos that elaborate on why using factorial works in the first place? I'm really interested in knowing

[TheGainadl]

I want to demonstate that after flipping 100 coins the probability of having between 40 and 60 number of heads is higher than
And I end up here watching this high school thing that I already knew ....
I am the only one?

[andrewpersaud]

using the pascal and binomial way you showed last video for small n. very handy

[munishyadav]

The purpose of dividing is to reverse a multiplication which has taken place, which should not have taken place.

Generally, the multiplication "should not" have taken place because two outcomes are not "distinct", i.e. they are the same.

For example if I ask how many distinct ways two coins can turn out, you will say there are 2 ways for the first coin, and 2 ways for the second so the answer is 2×2=4.

However if I then tell you that one of the coins is a double-headed coin, you now know that the 2nd multiplication by 2 is in error, as there is only one distinct way that coin can turn out. So you divide by 2 to give your answer 4/2=2.

[markjones]

He didn't derive the formula. He just gave us the formula. Please give the derivation of the formula.

[gothicsire]

Best probability and statistics professor ♡♡

[mayuripopat]

Thank you so so much..you made all the concepts of probability much easier...you are an wonderful teacher..once again thank you...

[zenwoo]

I was wondering where did i hear his voice, man has a voice that sounds like GRU from despicable me.

[MrWinter]

Thank you so much! Another wonderful video!

[hasnainjaved]

if I take 1 coin n=1, head=1 according to formula n-k where is taill (1-1)=0?? anyone ? help if you understand . Thanks

[jaijeffcom]

Is that symbol for n over k read "n choose k?" I would have enjoyed seeing the proof of that formula. Doesn't that relate to binomial expansion and Pascal's triangle?