Introduction to Probability

[@PublicVoidFoo]

The world needs more teachers like you!

[@elverdeman9247]

the world need more students that listen and follow directions.

[@jakejonah4283]

I dont mean to be so offtopic but does anybody know a way to get back into an instagram account..? I was stupid forgot my account password. I love any assistance you can offer me.

[@colsonjoziah5059]

@Jake Jonah Instablaster :)

[@jakejonah4283]

@Colson Joziah i really appreciate your reply. I found the site through google and Im in the hacking process atm. Looks like it's gonna take a while so I will reply here later with my results.

[@jakejonah4283]

@Colson Joziah It worked and I finally got access to my account again. I'm so happy! Thank you so much, you saved my account :D

[@dulirium9999]

I love how inquisitive your students can be during your lectures. They're engaged and curious about the subject matter at hand. I hope to be at least half the teacher you are one day. 😁😁😁

[@sagarbhattarai8161]

Me tooo

[@yumnuska]

Watching you teach is as amazing as watching Teller perform slight of hand. You’re magical. Your room management is exceptional, but your explanations are amazing and so intuitive.

[@DJ-xb3fk]

Eddie is full of energy. Amazing!

[@thefiend4044]

Eddie Woo Has Helped Me For 2 Months And He Still Teachs Me New Stuff Every Day.

[@Jess-dk6gi]

I'm an adult but I love these videos for study. It makes maths fun!

[@dace0204]

Thank you Eddie, you really help me get through Math in college

[@sushantsinghrathore1]

Never stop making video.. future generation will be thankful to you.

[@jasminehewitt6220]

You explain stuff soo good! as a highschool student your videos are really easy ways of looking at a hard equation!!

[@StereoSpace]

What an exceptional teacher.

[@peterosudar1636]

Amazing point with slim and fat chance!

[@rajendrasethi4225]

Best teacher of world,thank u sir.long live.

[@gouravgupta2313]

Amazing you teach with full zeal n zest and enthusiasm

[@padmanandmp6033]

Great Lectures Sir. Blessed are those students to have a teacher like you. The excitement, the enthusiasm of those kids says it all. There is brain drain for last several decades in all parts of the world due to lack of Good Teachers. World really lacks Good Teachers like you. I am sure that someone in your classroom will flower with knowledge and come up with next groundbreaking mathematical theories. I wish you long life with full of vigour and enthusiasm Sir. With great Love and Admiration from a rural part of India

[@yaoitrash9019]

you are more helpful than any of the math teachers ive had so far hahah

[@apporvaarya]

There is always something to learn from u eddie.. thanks for making maths so fun..

[@TimothyHenry-Bassey]

❤I love the way he brings back a related topic 😮😊🎉

[@Ctutoriales0]

Eddie makes me want to become a math teacher, with only a half of his teaching skills he is better than the 90% of the teachers in my country

[@sayarsine6479]

I am trying to copy of our teaching method. I love Maths! Thanks Sir!

[@loselinapatunvanu5459]

the world need more teacher as you

[@MultiCharles321]

If Eddie Woo had been my teacher I would have ruled the world by now .... Ha ha ha ha : |

[@naveensundar4765]

same here

[@mahdisalmanzadeh7875]

i am really enjoying ((: you teach with lots of energy and power.

[@rajanmadan1087]

Power of internet, you are best

[@teresathrush6505]

thanks for making maths come alive

[@zeus311081]

I don't think there is any teacher better than you! (Correction: There IS NO better teacher than you.) Also what grade of maths is this? 3? 4? Maybe 5? It can't be higher than that right? I learned this AAAAGGGEESSS AGO and I still review it in 7 maths! ITS RIDICULOUS!!! Also I aspire to be a meteorologist so thanks to whatever kid mentioned the random guessing of the weather! I think this is the longest comment I have ever written. WOOO CONGRATULATIONS ME!!!! Anyways you are awesome Mr. Eddie Woo and I wish you the best of luck on your KZbin channel and teaching career! HAVE FUN!!!

[@narajune7142]

I remember being 12. Oof

[@elverdeman9247]

I disagree. There are many teachers better or like him. You just don't know them.

[@elverdeman9247]

seems to me that he always has a good group of students he keeps talking and don't see any break for the common student to process the information

[@cknight3920]

@@elverdeman9247 I don't think it's fair to attribute his successes to 'great students'. Are you a teacher yourself?

[@jacespeed1615]

I think those kids looked like 12 to 13 year old

[@happy8871]

Thank You po! from the philippines

[@KeyserTheRedBeard]

great content Eddie Woo. I crushed that thumbs up on your video. Keep on up the superior work.

[@Teta5555]

13:35 don't mean to be smart but there is a fat and slim chance that it could land vertically, neither on heads or tails. ;)

[@ricebowoy]

Teta5555 Exactly what was explained at 12:54 I dont think there is a way of landing vertically when you catch it and then put it on your arm

[@Semispace]

well it's still not 100% because there's a chance the entire world will get hit by a meteor and you will all die and the coin will be ash. That sound better? nothing is 100% really

[@danielschulz6261]

Semispace that you will die is 100% (We know oldest person, we know sun will destroy earth, we know also other stuff after that, tgat make surviving impossible). Also a meteor would be too slow as you get to notice it before it hits.

[@georgemanning6217]

Teta555 that actually happened twice in my lifetime

[@Semispace]

@@dobacetr way to revive a 2 year old post haha

[@airwolfcentral169]

thanks so much i am a boy in yr nine from victoria and i am doing distance education. i would love you as a maths teacher thanks.

[@snells-window]

Simply brilliant!

[@xqzcri]

Your funny, you explain well, your teaching in a fun way. It’s likely you make people want to learn.. heheh get it… I said likely

[@namdang4591]

great video eddie! i was wondering out of topic, how MANY numbers are there between 0 and 1? considering they're uncountable numbers.

[@Smash2662]

infinite

[@MrCmon113]

You said it yourself. Uncountably many. In any interval, there is uncountably many real numbers. And the numbers you can count (0,1, -1, root of 2, pi, e, etc) constitute a negligible ammount of all numbers. In other words: If you choose a random number between 0 and 1, you are CERTAIN to get one without a finite description. The vast majority of numbers, you cannot even talk about.

[@epvtrinidad]

“Infinitely many”. In fact, this is not only true for counting numbers between 0 and 1. It is also true for any two numbers you can think of. No matter how “close together” or “far apart”

[@jeremiahbarker5569]

brahh you a sick lad i wish you were my math teacher

[@reubenmanzo2054]

I like to think that all probabilities are 50% as there are only 2 outcomes. Either the event in question will happen, or it won't. Likelihoods on the other hand, more often than not, you will find to be 90% against you.

[@FareSkwareGamesFSG]

I thought the reason slim and fat chance were identical was because they were referring to different "chances". In other words, "there is a slim chance (that outcome WILL happen)", and,"fat chance (that outcome WILL NOT happen)". I also would have thought that this explanation could lead into revealing the idea of how P(1 outcome) = 100%-P(other outcome) where there are only two possible outcomes. This could also support are intuition on finding out that nCr = nC[n-r] or n!/{r!(n-r)!}=n!/{[n-r]!(n-[n-r])!}=n!/{(n-r)!r!}

[@satvikaputcha]

That was really cool!

[@dmaikibujin]

Question, I am designing a game, but I need to figure out what would be considered: Very Easy, Easy, Medium, Hard, and Very Hard based on probabilities. For example if each % represents their chance of success, something like this: 90% = Very Easy 80% = Easy 60% = Medium 50% = Hard 40% = Very Hard So based on the above if I had a challenge that had a 60% chance for them to succeed I would label it a Medium difficulty challenge. So the question is what should the above labels actually be?

[@RickJaeger]

You should design backwards from how easily you want a player to succeed at a given task. If you want a player to succeed 99% (P=0.99) of the time at a given task, you should ensure that the probabilities of the task, or all subtasks which have their own probabilities, multiply to 0.99 together. Another thing to keep in mind is that a lot of the middle of probability, while fair, _feels bad_ to players, because of our gaming psychology. We feel, wrongly, that anything above 50% should basically be a "sure thing." It _feels bad_ to lose something with an 80% chance of success, even though we would expect to lose 1 out of 5 times! Because psychologically, people feel as though 80% is basically "as good as" 100%. So on the one hand, high probabilities make us feel good, because, no matter how small the reward, they're "sure things." Human beings love a sure thing. On the other hand, low probabilities also make us feel good... when they have a big payout, because then we feel the allure of the "big score." Everybody wants to be the guy that wins the lottery, and some people will go to extraordinary lengths to feel that juice, whether or not they actually win. You see, human beings also love a big score, maybe even more than a sure thing. You will want to test, test, test of course, and make sure that what I am saying lines up with your experience. In any case, that is what I know of probability as it relates to game design. My naïve suggestion would be to fit your probabilities onto an S-curve, so that the low ends and high ends of probability claim the most density of Difficulty ranks, and the middle is perhaps more sparsely populated. And if you want to go easier on players, you set the floor a little higher, as you have done there by putting Very Hard at 40% (which is pretty good odds, still!). It's more important that a game be fun than balanced, after all.

[@dmaikibujin]

@@RickJaeger Hi there! I appreciate the response (even if it's a year after I asked it! :) ). Yeah I'm mostly aware of the psychology stuff (that's my field, not so much on the Math). The players are using 6 sided dice to make rolls, a roll of a 5 or a 6 is counted as a success. This is for an RPG, so the number of dice they are rolling would depend on their skill levels. The number of successes they need is based on the difficulty level that I determine for each task they are trying to achieve. I've worked out the probabilities for each roll succeeding on a spread sheet for quick reference, I just want to make sure I'm setting realistic difficulties for each task. So if I think it should be easy, it should actually be easy (but still with a chance of failure). Whereas the players don't actually ever see the calculated probabilities and aren't told explicitly if the roll will be easy or hard. Though of course, over time, they will start to intuitively catch on to how easy or hard it is to succeed at certain rolls. So for instance if they have 6 dice they can roll for a task, they have a 91.22% chance to get one success, a 64.88% chance to get two successes, 31.96% for three, 10.01% for four, 1.78% for five, and 0.14% for six. So based on the chart from my first post, in my mind, if I want it to be Very Easy for them to succeed, I would tell them they need to get at least one success. If I want it to be Medium difficulty to succeed, I'd say they need at least two. Very Hard I would say they need at least three. I would only every say 4-6 if I really don't think they should be able to succeed, but wanted to allow for a small chance that it could still happen out of pure dumb luck, otherwise I'd simply state it's not possible for them to do that. So my goal with the difficulty levels that I posted is for them accurately reflect what I think the difficulty of the task should be, with the probabilities purposefully skewed in the player's favor, as people have more fun when they are mostly succeeding at things. 😀

[@RickJaeger]

@@dmaikibujin Ah, good, there you go. I figured you'd probably done something or other towards perfecting the system in the intervening years.

[@lukamilosevic3191]

at like 13:20, could you actually put 1/3 instead of 1/2 bcs the probability of landing on the edge isnt the same as the others, how would you write that, bcs like you have 3 possible outcomes but not the same probability for each, would it be like 4/9+4/9(for each side) and then plus 1/9(for the edge)

[@UshaKumari-dq7mi]

Brilliant explanation

[@mikaylakaye9719]

Teachers really be showing us this instead of teacher us 😭👍🏻

[@blqf3379]

can I buy this how much?

[@1Manda1]

but we say the full percentage is1oo not 1o or 20?

[@tewodrosgebru1818]

Eddie where comes 0 from? I Appreciable of all to me while lecturing.

[@LeeMaitland]

10:03 - The class exhibiting the hot hand fallacy there, of course it was going to be heads... right?

[@lijius705]

god help me i am binging his math videos after a 7 hr day of school HELPPPPP

[@TheDedloc]

I'm the kid in class that would have blurted out, " THAT is NOT a straight line!"

[@reubenmanzo2054]

3:24 Imagine winning the lottery without buying a ticket.

[@RazorM97]

So brakes mean "only that which is inside"

[@hch3023]

Wish I watched it one day earlier

[@thefiend4044]

Can Any ONe Hearing Static.

[@AngelinaCruz357]

Buying lottery tickets is gambling with chances.

[@FireCrack83]

me watching a math video in 2024 thinking..."if i had such teachers in 1990s i would not have hated school"

[@solapowsj25]

Nope. Probability has pinpoint accuracy, especially in statistics. Chance and uncertainty is slightly different. Example: Probability of finding an electron at a point in orbit. Probability of getting a certain fraction of salt in water in half normal saline. And others.

[@jackmiddleton2080]

Why are the videos so short? Don't the classes last at least 45 minutes?

[@gunamerstravels]

The video has been edited and cropped into a smaller clip. I assume to protect the identity of his students.

[@MrsPark-ld6zx]

What is the activity he did with the sticky notes?

[@alexosuna8320]

it'll be all you're fault if I end up being a math teacher......

[@Hieucd97]

It's a bit odd how you introduce the idea of spectrum just like that. You need to accept there's more than 2 truth values to have a spectrum in the first place and that's something should not be taken for granted

[@mosborne9878]

"Light" spectrum had _nothing_ to do with uncertainty.

[@mosborne9878]

a@1:01 - the UV spectrum is quite well defined, nothing probabilistic about it. The fact that different energy bands can spread across the "spectrum" is neither random nor probabilistic. THE only variable is the within the energy source being measured (along with the measuring instrument's inherent sensitivities.) "Maths" _are_ about precision, are they not?

[@mosborne9878]

@@dobacetr Re-watching the video, after finally noticing your comment, I think perhaps we are both correct? Certainly your point is. He was talking about the UV spectrum as a weather prediction of sunlight intensity? (As close as I can tell - this is not done in my part of the world). This is a detail I missed on original viewing. I work, professionally, with different light spectra so I am perhaps a bit over sensitized. My original point is valid, but in this case not on point or target. I would argue that light spectrum is a poor analogy for this explanation. It is confusing the point. Thank you for your correction. Honestly.

[@thomaskim5394]

Good enough for middle school students. But, definitely, not good enough for high school or college students.

[@SJIsles]

Too much talk, TBH.

[@davidjames1684]

None of those probabilities should ever be 0% or 100%. In order for that to be true, you would have to possess futuristic knowledge of the universe. When flipping a coin, before it settles, you don't know if the world will end in a split second, therefore P(head or tails) is NOT 100%.

[@SoumilSahu]

You really need to study probability theory.

[@davidjames1684]

Soumil Sahu - no I don't. Use some common sense.

[@SoumilSahu]

@@davidjames1684 just because something is common sense does not mean it's correct. A probability is ALWAYS defined on an outcome space and it's essentially a measure defined on its sigma field, which consists of events. So no, the earth isn't exploding before the coin lands. It's not in the outcome space(of the problem in question). Edit: I'll say it again. Study some probability theory.

[@davidjames1684]

@Soumil Saha - I disagree. If outside forces can change the outcome of an event (such as flipping a coin), then they can affect the probability. So flipping a coin and getting a head or a tail is not 100%. What if it lands on its edge for example? What if the coin is flipped in outer space and never stops? 100% (my ass).

[@wha82]

The kid in the beginning has corona