I like math, I really do. But probability, or at least the way that it is taught and the examples that are used to demonstrate the concepts of probability, are so insipid and entirely uninteresting that I cannot for the life of me sit through and pay attention to one of these lessons. Is it just me or does anybody else share my sentiments?
me too! i probably talk the most in my math class usually, but now that we're doing probability i barely talk at all! in fact i've been doing more city-planning in the back of my math book than actual maths
No, quite the opposite. I usually dislike math, but I think these examples are nicely explained and interesting, it made me understand the topic really well.
(3/5) * (3/5) = 0.36, So sure, unless I have to replace it with a red marble (Which would definitely be worse than not putting a marble back in the bag (3/5) * (2/5) = 0.24).
*From Gladwin* on the questions sections of Khan Academy: Can anyone explain to me the last part on how I would get $0.30? *From David Betzer* on the questions sections of Khan Academy: Because the probability of picking the "winning" combination of two green marbles in a row is 0.30, you can expect to win the prize of $1 about 30% of the time on average. So, if you played the game many many times, the average amount of money you win per game (meaning the amount you win in total divided by the number of times you played in total) will be $0.30. For instance, suppose you played 10,000 times, you could expect to win the $1.00 prize about (0.30)*(10,000) = 3,000 times. So in 10,000 games, you would win $3,000 dollars. The amount of money you are winning per game is $3,000/(10,000 games played) = $0.30 per game.
I think he means expected value of winnings (win $1.00 30% of the time and $0 70% of the time), not expected value of the gamble (-$0.35 70% of the time and $0.65 30%) or -$0.05 which is a negative expected value or on average you are going to lose 5 cents. Sort of the same thing Sal was saying just phrased a bit different.
Hello, from six years in the future. This is what I came to the comments for, so thank you for the explanation. Now I see why the average payout can be subtracted by the amount you paid to play to see if it's "worth" it, because if the average isn't higher than what you're paying in, it's likely a loss to you. I didn't come to that conclusion until I saw what you said about the payout percentages.
Thanks.. This really help me to understand the topic.. Can u pls solve below question: A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 38% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult does not own stock? b. What is the probability that the adult owns stock and has some college education? c. What is the probability that the adult owns stock or has some college education? d. What is the probability that the adult has neither some college education nor owns stock? e. What is the probability that the adult does not own stock or has no college education? f. What is the probability that the adult has some college education and owns no stock?
Great video (per usual), but shouldn't the title be "introduction to conditional probability"? Using non-standard terminology makes it a little confusing when integrating or referencing the videos with traditional courses.
My answer to your question is yes if i could replace the marble in the bag with a green marble. Because that way i would get $0.36 which would give me profit of $0.01.
Seeing how there are only two comments, attempting to give a solution (and mine is one of them), i'm interesting to know what is wrong with it. Was the question at the end of the video not "Would you play the game if you where allowed to put a marble back in the bag." Which would mean 3 green marbles in the bag, no matter the result of the first draw. Anyway, either I miss interpreted his question (in which case please let me know) or you are wrong.
8 months ago but guess I’ll answer? If they’re dependent, then P(A n B) = P(A) x P(B). You can rearrange to find certain values. If thats not the case and A is dependent on B, you can use P(A|B) = P(A n B)/P(B) the videos says “|” means “given that”.
Given that you dont pick a second marble if your first marble is orange, aren't there 14 possibilities for how the game could go? G1 G2. G2 G1. G3 G1 G1 G3. G2 G3. G3 G2 G1 O1. G2 O1. G3 O1 G1 O2. G2.O2. G3 O2 O1 O2 14 possible outcomes with 6 possible victories isnt that an almost 43% chance of winning? If this is a fallacy, why?
After the first green you then have two green & two red. That's NOW a 50/50 chance of winning the next green in my book. also I would only play twice so I'm a head with a profit if I won. This works only with 3 green & 2 red. But if I had to pick out the 2 reds to win I still would play twice so I would only lose a little and saved 30 cents or win with a profit of one dollar & 30 cents! AS soon as you said 35 cents I knew I would only play twice because CASINO's ONLY want loser's NOT winners!!!!
The lessons are good and understandable. But there is a problem. Let’s say that there are 4 questions to do and you get 2 wrong. They still make you do it even tho you’d get a bad percentage. And i know that it is to teach you again but why don’t they let you have a redo feature?!
It's interesting how all comments that tried to answer question before watching video got it wrong. Thus you should always watch video first and comment then, so you don't embarrass yourself.
I like math, I really do. But probability, or at least the way that it is taught and the examples that are used to demonstrate the concepts of probability, are so insipid and entirely uninteresting that I cannot for the life of me sit through and pay attention to one of these lessons. Is it just me or does anybody else share my sentiments?
me too! i probably talk the most in my math class usually, but now that we're doing probability i barely talk at all! in fact i've been doing more city-planning in the back of my math book than actual maths
No, quite the opposite. I usually dislike math, but I think these examples are nicely explained and interesting, it made me understand the topic really well.
I share that too
Christopha Soluna I share them
YESSSSSSSSS!!!!!!!!!
Answer to ur question:
3/5 * 3/5 = 9/25 =0.36 chance
on average $1*0.36 = 36cents :) which is higher than 35, so yes :)
Brilliant. I love the ethos of this channel. Thank you for all your hard work!
what if i told you that......i would still play it.
this is seven years old
@@jackjensen9796 Wow.
well i would say you said a very sincere goodbye to your common sense
@@jeanherbots1235 maybe it would be worth for the pleasure of playing such beatifull game
@@hexerei02021 why are u a sad penguin
Thank you so much for creating videos such as these, I really appreciate you helping me and explaining in way that can make me understand better.
(3/5) * (3/5) = 0.36, So sure, unless I have to replace it with a red marble (Which would definitely be worse than not putting a marble back in the bag (3/5) * (2/5) = 0.24).
Hey! Wouldn't it be (3/5) * (3/4)?
This guy is awesome. Makes you love the probability theories. Clean and understandable teaching. Thanks a lot!!!
I have the need to say, thank you so much. I finally understand.
1:15 obviously fairly low stake casino🤣🤣🤣🤣🤣
Thanks for this video . It has been so useful for me
Nice interactive instruction Sal! I do not gamble much but sometimes unexplained magic can happen, but usually while I watch LOL
Had an exam on this yesterday, thanks Sal.
*From Gladwin* on the questions sections of Khan Academy:
Can anyone explain to me the last part on how I would get $0.30?
*From David Betzer* on the questions sections of Khan Academy:
Because the probability of picking the "winning" combination of two green marbles in a row is 0.30, you can expect to win the prize of $1 about 30% of the time on average. So, if you played the game many many times, the average amount of money you win per game (meaning the amount you win in total divided by the number of times you played in total) will be $0.30.
For instance, suppose you played 10,000 times, you could expect to win the $1.00 prize about (0.30)*(10,000) = 3,000 times. So in 10,000 games, you would win $3,000 dollars. The amount of money you are winning per game is $3,000/(10,000 games played) = $0.30 per game.
THANK YOU REALLY HELPED WITH MY HOMEWORK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
bro explained this better than my own teacher
I think he means expected value of winnings (win $1.00 30% of the time and $0 70% of the time), not expected value of the gamble (-$0.35 70% of the time and $0.65 30%) or -$0.05 which is a negative expected value or on average you are going to lose 5 cents. Sort of the same thing Sal was saying just phrased a bit different.
Hello, from six years in the future. This is what I came to the comments for, so thank you for the explanation. Now I see why the average payout can be subtracted by the amount you paid to play to see if it's "worth" it, because if the average isn't higher than what you're paying in, it's likely a loss to you. I didn't come to that conclusion until I saw what you said about the payout percentages.
Thank you so much for the upload! :D
I need, "Determining the Probability of Dependent Events including "or."
*Ex. Choosing a green **_or_** a pink marble.*
You would basically just add up the probabilities of both green and pink, i.e., P(green) + P(pink) = P(green or pink). Hope this helps!
Thanks.. This really help me to understand the topic..
Can u pls solve below question:
A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 38% of all American adults have some college education. An American adult is randomly selected.
a. What is the probability that the adult does not own stock?
b. What is the probability that the adult owns stock and has some college education?
c. What is the probability that the adult owns stock or has some college education?
d. What is the probability that the adult has neither some college education nor owns stock?
e. What is the probability that the adult does not own stock or has no college education?
f. What is the probability that the adult has some college education and owns no stock?
Regarding your question at the end, yes, you would wanna play that game. On average you would win 36 cents, and you spend 35 cents. Stonks!
Clear explanation of dependent probalility!! Good stuff
You would want to play the game because 3/5 * 3/5 is 9/25 = 0.36 and it is higher than 0.35
Thank you. The way you put it. Simplified it for me.
thank you for valuable information and great support videos. I am using your material to prepare for my GMAT
Thank you for the video's sir😊👍
Great video (per usual), but shouldn't the title be "introduction to conditional probability"? Using non-standard terminology makes it a little confusing when integrating or referencing the videos with traditional courses.
Millionaires raise the price and then we have a deal
We call it conditional probability. I was confused as to what is this new thing called dependent probability!
Those marbles were lovely.
thanks so much!!!
Thanks 👍
This helped me alot
My answer to your question is yes if i could replace the marble in the bag with a green marble. Because that way i would get $0.36 which would give me profit of $0.01.
hocam izledikten sonra rulet oynamaya başladım ve yakında Porsche alacağım.... teşekkürler
God Bless!
this going to be a set of videos on discrete mathematics and college level probability?
Seeing how there are only two comments, attempting to give a solution (and mine is one of them), i'm interesting to know what is wrong with it.
Was the question at the end of the video not "Would you play the game if you where allowed to put a marble back in the bag." Which would mean 3 green marbles in the bag, no matter the result of the first draw.
Anyway, either I miss interpreted his question (in which case please let me know) or you are wrong.
help! What if the question is "What is the probability of choosing more than 1 green marble?" Using the same example.
I need so much help with my homework lol
What if the properties are given by the question
How I can determine if it dependent or independent
8 months ago but guess I’ll answer? If they’re dependent, then
P(A n B) = P(A) x P(B).
You can rearrange to find certain values. If thats not the case and A is dependent on B, you can use
P(A|B) = P(A n B)/P(B)
the videos says “|” means “given that”.
thank u god bless
And yep you would, you would make one more cent. But honestly one more cent per game is a pretty good way to waste time, so nah
Given that you dont pick a second marble if your first marble is orange, aren't there 14 possibilities for how the game could go?
G1 G2. G2 G1. G3 G1
G1 G3. G2 G3. G3 G2
G1 O1. G2 O1. G3 O1
G1 O2. G2.O2. G3 O2
O1
O2
14 possible outcomes with 6 possible victories
isnt that an almost 43% chance of winning?
If this is a fallacy, why?
So complicated for a dollar ;-;
welcome to Las Vegas
After the first green you then have two green & two red. That's NOW a 50/50 chance of winning the next green in my book. also I would only play twice so I'm a head with a profit if I won. This works only with 3 green & 2 red. But if I had to pick out the 2 reds to win I still would play twice so I would only lose a little and saved 30 cents or win with a profit of one dollar & 30 cents! AS soon as you said 35 cents I knew I would only play twice because CASINO's ONLY want loser's NOT winners!!!!
🥵
your voice makes me want to watch more videos
Why are there two vids on the same thing?
One is dependent, and the other is independent. There is a difference.
The lessons are good and understandable. But there is a problem. Let’s say that there are 4 questions to do and you get 2 wrong. They still make you do it even tho you’d get a bad percentage. And i know that it is to teach you again but why don’t they let you have a redo feature?!
lol id be dead before i could play it 100 billion times
Great, now no one can say "First". That get does get on my nerves.
why you multiplying 3/5 and 2/4 ? that does not make sense for me .
Independently, you'd expect 1 more cent each time you play.
Omg a strange casino!
Poor people knowing about casino: ITS MY TIME TO SHINE
yes I'd play it if I could replace the green marble, for I would have a 36% chance of getting $1, so each try I would get 36 cents for 35 = win :D
I love khan but this black board makes it boring and makes me want to sleep,its d voice that keeps me watching your videos, true
really? personally i find it rather pleasing to look at. a nice contrast from my math lessons in school.
If I could put green marble back in, I would get 9/25 = 0.36.
So I would win 1 cent on average. And I would be making a profit.
What if you play 100 Billion times?
Win $1 Billion.
Not two orange marbles it is orange colour marble
'would you still play the game?'
heck no cuz
i only get ONE DOLLER
What if i dont want to play the game? lol.
It's interesting how all comments that tried to answer question before watching video got it wrong. Thus you should always watch video first and comment then, so you don't embarrass yourself.
nope
This, is what I call a SCAM casino
Who else is watching this during coronobreak
good point. lol
Llamas
no i wouldn't waste my time to play a stupid game that would net me on average $0.01 lol
You be doing too much
if u feel that u are lucky, just do it! don't do the math!
What's the probability this is a scam?
Sopore por why don't you calculate that