This question is actually amazing , yeah for sure it is since Cambridge is the one who made it but what's even more amazing is the way you did it, absolutely wonderful explanation
Great explanation, but I don't like the ambiguity in the problem. If you ask 'what are the chances of wearing even socks on a Tuesday' before the week has begun, then the answer is 1/9th. If you ask the question on Monday evening, the answer is either 1/7th if you are wearing even socks, or 6/8 *1/7 = 3/28 if you picked odd socks. As in the probabilities update with information at each time step.
I totally agree. My first thought when I heard this question was: It depends if he got the socks right on Day 1. I would always get questions like these wrong in school because I would misinterpretate them the way you describe. Then I would be all bitchy about it and tell everyone I thought the question sucked (no pun intended).
If i had the time i personally would draw out the entire tree at every step because i found it fun when i was younger like how many sandwiches can you make with three breads and five chesses and seven meats i would draw three columns(for each item: bread, cheese, meat) and i would draw lines in between each item and count all the combinations at the end kind of like : AAA, AAB, AAC and so forth
I found this non intuitive because I made the assumption that the first day matching socks were picked since the probability of doing that was the question, and so on each day. (I did not see problem text.) But I since the argument does not assume that, I have no problem with the result, only with the problem statement in being vague as described. Good thing I did not specialize in math at as college :-).
No, you don't take the 2 "impossible socks" out of the pile they remain and lower the possibility to get the right first sock, but once you got the right sock there is still only 1 matching second sock: 2 out of the 8 you can't choose (2/8 = impossible), but there are still 6 out of 8 that are fine to choose for the same socks event to happen (6/8 = first sock possible). Once you get 1 of those 6 Socks out of 8 that work out, there is only 1 sock in the pile of now 7 that matches the first one (1/7).
2/8 socks will make it impossible to make a pair on the second day Maybe it would be best to physically do this with 10 socks because it's a tricky question to picture.
@@yangzhang9982 a sock A and a sock B (a pair )is already out therefore it does not make sense to get another A and B the next time So 2/8 are not possible socks 🤔 I guess.
If I picked a blue sock on Monday, and then I pick another blue sock on Tuesday, it is impossible to get a pair on Tuesday because the other blue was already picked on Monday.
Guees you cant have two answers lol I thought it was 1/7 and 1/3 at first. 1/7 being matched and 1/3 being not matched. My 1/3 was wrong but the main thing is you need to add them together.
If i had this man as my teacher i would pass all of my classes
That is actually amazing how it actually works out at the end. And I love the method Eddie goes through to teach this and prove it.
This was actually mind blowing. Thank you
This question is actually amazing , yeah for sure it is since Cambridge is the one who made it but what's even more amazing is the way you did it, absolutely wonderful explanation
I'm sorry I'm way too late. But can you tell me the textbook Mr.Woo is following?
Cambridge year 11 maths advanced
#😮#😮#😢#@@itslily7845
@@sarat67820:49 0:49
Great explanation, but I don't like the ambiguity in the problem. If you ask 'what are the chances of wearing even socks on a Tuesday' before the week has begun, then the answer is 1/9th. If you ask the question on Monday evening, the answer is either 1/7th if you are wearing even socks, or 6/8 *1/7 = 3/28 if you picked odd socks. As in the probabilities update with information at each time step.
Exactly this!
I totally agree. My first thought when I heard this question was: It depends if he got the socks right on Day 1.
I would always get questions like these wrong in school because I would misinterpretate them the way you describe.
Then I would be all bitchy about it and tell everyone I thought the question sucked (no pun intended).
Kkjk
Kmpkfdf@@perkz4
He is an outstanding teacher. This is great stuff.
If i had the time i personally would draw out the entire tree at every step because i found it fun when i was younger like how many sandwiches can you make with three breads and five chesses and seven meats i would draw three columns(for each item: bread, cheese, meat) and i would draw lines in between each item and count all the combinations at the end kind of like : AAA, AAB, AAC and so forth
I wish my professor taught like this. Great job and I appreciate your passion for teaching!
Veeeeeery enlightening, thank you!
This is why I wear sandals.
üniversite de ki hocamızın dediği gibi dünyanın ortak dili matematik :)
Wow!
Love this!
So if you pick a red sock and a yellow sock, you go out wearing them?
I found this non intuitive because I made the assumption that the first day matching socks were picked since the probability of doing that was the question, and so on each day. (I did not see problem text.) But I since the argument does not assume that, I have no problem with the result, only with the problem statement in being vague as described. Good thing I did not specialize in math at as college :-).
But the instructor is very good.
Theeeeere we go. Here’s “drawing dead” explanation.
Amazing!
Wicked....😅👌🏻
maths is magical and eddie a magician
Wow🙂
☺☺
Well my mind is blown
👍
06:56 I think there should be only 6 socks to pick from,... right??.. so it should be 1/6 for the same and 5/6 for not same, isn't it??
No, you don't take the 2 "impossible socks" out of the pile they remain and lower the possibility to get the right first sock, but once you got the right sock there is still only 1 matching second sock: 2 out of the 8 you can't choose (2/8 = impossible), but there are still 6 out of 8 that are fine to choose for the same socks event to happen (6/8 = first sock possible). Once you get 1 of those 6 Socks out of 8 that work out, there is only 1 sock in the pile of now 7 that matches the first one (1/7).
Hey, can someone elaborate more on the impossible sock?
I’m really confused
2/8 socks will make it impossible to make a pair on the second day
Maybe it would be best to physically do this with 10 socks because it's a tricky question to picture.
@@yangzhang9982 a sock A and a sock B (a pair )is already out therefore it does not make sense to get another A and B the next time
So 2/8 are not possible socks 🤔
I guess.
If I picked a blue sock on Monday, and then I pick another blue sock on Tuesday, it is impossible to get a pair on Tuesday because the other blue was already picked on Monday.
Guees you cant have two answers lol I thought it was 1/7 and 1/3 at first. 1/7 being matched and 1/3 being not matched. My 1/3 was wrong but the main thing is you need to add them together.
Amazing. And I'm hot for teacher...
Ok I watched this and I'm still confused and think it's wrong
Why are we talking chances if you can just choose?
But you're not choosing, the choice is blind so it's random chance.
i like the textbook explanation more.