A set Theory problem from JEE Advanced 2022

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  • čas přidán 5. 06. 2024
  • This problem requires the use of Venn Diagram. I think it is the most effective path to figuring out this solution.

Komentáře • 42

  • @timwood225
    @timwood225 Před 15 dny

    A comprehensive lesson both in general terms, and those specific to this problem. Absolutely worth working through - if for no other reason than to see how many mistakes and how many kinds of mistakes you can make if you don't already know how this works. And how to do it correctly. An education in fifteen minutes!

  • @musictwilight1682
    @musictwilight1682 Před 21 dnem +8

    Amazing! 💫
    Sir,I request you to explain us more Jee Advance Problems I'm a jee Aspirant.(Vector,3D,Probability,Matrices,Calculus etc...)
    Keep up good work. ❤️❤️❤️

  • @Dhaneesh_7
    @Dhaneesh_7 Před 20 dny +2

    A classy problem ✅

  • @Mathematical-Mind
    @Mathematical-Mind Před 20 dny +4

    Sir, could you please make a video covering graph theory? I’m trying to learn it for the amc 10/12.

  • @amydebuitleir
    @amydebuitleir Před 20 dny

    You could also take a shortcut. At 12:30 we know that the number of people who have either 2 or 3 of the symptoms is 30 + 40 + 50 + 60. Subtract that from 900 to get the number of people with either 0 or 1 symptoms, which is 720. Then calculate the probability. It's a good idea to do it both ways to double-check the answer.

  • @jameswood441
    @jameswood441 Před 20 dny +1

    You did more work than needed to solve the problem. Once you had the intersections, just subtract that from 900.

    • @PrimeNewtons
      @PrimeNewtons  Před 20 dny +9

      Oh. I was trying to fill all the spaces in case someone needed to learn something.

    • @348bac
      @348bac Před 19 dny +2

      Always best to show the whole process rather than let the viewer decide fir themselves what happens at the rest of the stages

  • @mab9316
    @mab9316 Před 21 dnem

    Elements present / Elements common

  • @thems2002
    @thems2002 Před 19 dny

    Sir please make videos on real analysis....pleaseeeeeeeeeeee

  • @davidgagen9856
    @davidgagen9856 Před 21 dnem

    Can't we just plug nos into the Venn diagram?

  • @MothNeo
    @MothNeo Před 15 dny

    8:48 why is this "n(F U C) = 330" and not "n(F U C) + n(F ∩ C) = 330"?

  • @desert2586
    @desert2586 Před 20 dny

    Hi, I was doing this on my own and I can’t understand what I did wrong.
    the notation i used was
    f= only fever
    b=only breathing etc
    fb= fever and breathing problems
    fc= fever and cough problems etc
    fbc= fever breathing and cough problems
    n= no problems
    160= f + fc + fb (alr subtracted the 30 ppl w all problems)
    190= c + fc + bc
    190= b + fb + bc
    330= f + c + fc
    340= f + b + fb
    670= 2f + c + b + fc + fb
    670= 160 + f + b + c
    one symptom = 510
    and then as i try to solve for other stuff i get diff answers and idk why

  • @HNParty
    @HNParty Před 21 dnem

    if 630 persons are infected, so only 270 people are non infected. am I wrong?

    • @Dhaneesh_7
      @Dhaneesh_7 Před 20 dny

      Only 420 are infected do focus on sets union

    • @johnka5407
      @johnka5407 Před 20 dny +1

      Group F was with fever, but not only with fever. In F there are also people with other symptoms. Someone may be in two or three groups, but still is just 1 person.

  • @holyshit922
    @holyshit922 Před 20 dny

    It looks like inclusion-exclusion principle

  • @user-ky9kv5je9s
    @user-ky9kv5je9s Před 20 dny

    I disagree. People who have at most one symptom are the 420 people in the Vann diagram. All minus the 480 who have no symptom.

    • @woodchuk1
      @woodchuk1 Před 20 dny

      That would be the number of people with at LEAST one symptom, not at MOST one.

    • @user-ky9kv5je9s
      @user-ky9kv5je9s Před 20 dny

      @@woodchuk1 You are right! Sorry

  • @Subham-Kun
    @Subham-Kun Před 21 dnem +9

    This is the simplest form of probability that is taught in 9th grade

    • @latexa2993
      @latexa2993 Před 21 dnem

      : 🤓

    • @KRO_VLOGS
      @KRO_VLOGS Před 21 dnem +2

      Hum sab 11th me Sikh rhe hai aur tuzhe alag se 9th me padhaya

    • @sleep1ngM0nsteR
      @sleep1ngM0nsteR Před 21 dnem +9

      Yeah kid you are the reincarnation of Newton or Einstein

    • @shashankmaurya1263
      @shashankmaurya1263 Před 21 dnem

      @@KRO_VLOGS tune nahi padha lekin 9th/10th me hota h probability

    • @KRO_VLOGS
      @KRO_VLOGS Před 21 dnem

      @@shashankmaurya1263 I think you meant the n(a union b) formula

  • @KPunktFurry
    @KPunktFurry Před 20 dny +1

    hello first of all,
    you are right it looks long but the singel steps should be easy i think you only have to bring all the infos in a equention.
    3:48 that have to be the first step ok
    6:01 i see the problem AND the solution at this point! we check out how many elements are the same and how many not and add those values so becauce ther is no other posible case we have this equantion and it is always true make sense!
    7:38 of cause becauce than you have a nice overview!
    9:28 ok there it will be hard to understand for me becauce i have never learnd quantity theory!
    10:39 ok an normal equantion that should be also posible for me!
    12:05 ok thats realy not as difficult as i thought!
    13:06 ok the rest is easy
    14:40 allright anybody make mistaks!
    15:39 ok basicly we devide the sum of this numbers by the count of all people right?
    16:42 you found a mistake afterwords :D but that is ok! so now i am a bit more claver! xD
    16:49 and your true sentence at the end nice!
    LG
    K.Furry

  • @shashankmaurya1263
    @shashankmaurya1263 Před 21 dnem

    Solution could've been much simpler.
    Also I was able to solve it orally😊

    • @AadiSrivastava-sp9zn
      @AadiSrivastava-sp9zn Před 21 dnem +1

      how? can u tell me how u solved it orally i haven't studied 11th probability yet. So if it requires some concept of 11th probability then tell me I will read prob. first and then try it once again

    • @sleep1ngM0nsteR
      @sleep1ngM0nsteR Před 21 dnem

      @@AadiSrivastava-sp9zn no actually it’s just set theory with simple concept of probability: Favourable/Total

    • @shashankmaurya1263
      @shashankmaurya1263 Před 21 dnem

      @@sleep1ngM0nsteR right

    • @epikherolol8189
      @epikherolol8189 Před 20 dny

      ​@@sleep1ngM0nsteRYeah...

    • @knupug
      @knupug Před 20 dny

      That was fun! Thanks