In the end I got the same final answer on my calculator as well, that is, 0.319... but.... question....how did you get 19,513 ????? and 61,110??? the calculator and siri both say 80 choose 5 is 24,040,016 and 100 choose 5 is 75,287,520. Even when I factored out the 75! I still got the same thing. It is haunting me lol where did these numbers come from?
I love this guy! I knew nothing about a single topic in Multivariate Cal. All i did was heard his lectures and gave my exam. DEFINATELY GETTING THE HIGHEST MARKS! God Bless! ❤
Thank you for this!!! It's so much better to understand when you are teaching it than when I'm trying and failing miserably to understand it from a book!
i'm not trying to learn this stuff, but i have been using your other videos to help with the math class that i'm in now. my college algebra teacher is so unbelievable awful but watching your videos has helped me immensely. on the chance that you do see this comment, i wanted to hop onto your latest video to say thank you so much. you're brilliant!
Excellent job! I really do understand this better! But I'm so glad that I'm not left handed...I don't know how you write with your hand covering everything!
Hey Patrick! Does this calculation work for card games? For example you have a poker deck and u wanna calculate for black and red cards. Since they are shuffled and stacked is there a difference to your example? Maybe there is a slight difference that I cannot see? Thanks for your video ! :)
When calculating all possible permutations in the example (we did 100c5) shouldn't we account for double counting as we consider lighted bulb as one Identity and defective as a different identity
I still can't understand the formula. How come the Cn(N,n) value can be the "total" number of possible outcomes for an extraction of n b-w (black white) COLOURED items out of N possibile items ? It is just a number that represents how we can choose n items from N items .. no matter their "colour"is I don't understand how Cn(N,n) can be representative of all possible cases .. if it does not contain any information about the colour.
How did you get 19,513 from 80 choose 5? When I google "80 choose 5" and also when I do it by hand I get 24040016. That's a huge difference. What am I doing wrong?
In a shipment of 20 iPods, 4 are damaged and 16 are good. The receiving department at SIKA HILLS tests a sample of 6 iPods at random to see if they are defective. The number of damaged iPods in the sample is random variable X. Find the probability that at least one iPod is damaged.
hey! "N "is 100 out of which 5 are selected which is "n" And after that, it says if all 5 light up, lot is accepted. 'So what is the probability that lot is accepted? ' So does that mean X is also 5? Here we have to find the probability if lot is accepted and it is only accepted when all 5are light up. Coz I put X as 5 as 5 bulbs are from 80 which works. And I put N1 as 80 and N2 as 20 P(X=5)={(80c5) *(20c0)}/(100c5) which gets me the same answer please tell me if I am correct. Can we put X as 5 ?
he mentioned earlier that random variable he is choosing is that the bulb is defective so he kept x equal 0, if you take random variable as the bulb is working then you can take x equals 5. The answer of both will be the same But just make sure to declare what your random variable is about.
I was so confused for DAYS thinking my brain lost its edge when it came to understanding math formulas... then I realize my stupid Stats book was written stupidly. The question didn’t even give me x. Then I found out in the chapter, they didn’t even want me to try it by hand, they gave a bunch of vague answers that they never completely answered, then said “just use Excel” at the end. And the answer to the question was 1, which they didn’t even USE this equation to find. I swear to God I hate this business book. It can’t have been written by mathematicians. They didn’t even explain how to work out factorials after giving this (stupid) version of the hypergeometric equation: P(X=x) = (sCxN-sCn-x)/NCn I know, right? Looks nothing like what’s described here. Not only was I confused by what all these letters represented, but they also didn’t explain what the C’s meant (I now know they mean ‘choose’), factorials, nor how to convert this format over to factorials. I’m so lucky I have this video, and an aeronautical engineer Dad who could explain to me what the heck was going on, lol.
A "real life" example: I have a 60-card Magic the Gathering deck, 24 of which are land cards. I might be interested in the probability that my opening draw of 7 contains exactly 3 lands. This is a hypergeometric distribution problem.
