Probability Trees (Dependent Combined Events) | Conditional Probability | Grade 5+ |GCSE Maths Tutor

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ความคิดเห็น • 144

  • @KK-mk8xb
    @KK-mk8xb 4 ปีที่แล้ว +124

    best maths youtuber going🙌🏽

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +18

      k sam Thanks a big statement! thank you so much! It’s really appreciated!! 🙏🏼

    • @muhammadaizaz2233
      @muhammadaizaz2233 3 ปีที่แล้ว +11

      I can not disagree with u

    • @username-sb1hp
      @username-sb1hp 2 ปีที่แล้ว +3

      👆👆 for real

  • @laibanadeem7811
    @laibanadeem7811 2 ปีที่แล้ว +104

    I litterally just note down the lessons we do in lesson and come home and watch you video on it. Basically you are my gcse maths teacher sir GO ON SIR👍

  • @minecraftlovaaa
    @minecraftlovaaa 3 ปีที่แล้ว +40

    best maths teacher on youtube thank you so much for everything

  • @MKhan-qe9lp
    @MKhan-qe9lp 4 ปีที่แล้ว +13

    9:29 and 17:08 exam practice.

  • @cloudzyfn1496
    @cloudzyfn1496 2 ปีที่แล้ว +30

    YOU are amazing when the teachers were explaining it at school i did not understand and when i watch your videos i understand Thank you so MUCH plus can you not simplify the answers

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +16

      Thank you so much for the kind words I’m so glad to hear that! In regards to simplifying the answers, you can but you don’t gain extra marks! And if you simplify incorrectly you can lose marks.. so it’s a relatively pointless step to worry about! 😁🙏🏼

  • @sbonganzimande6500
    @sbonganzimande6500 2 ปีที่แล้ว +23

    Starting to think i might not need to go to school, i can just watch your videos 😅😅.Thank you so much

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +20

      Haha if my videos are that powerful for you, imagine how good you’re going to be having both 😁💪🏼

  • @theblackswordsman3579
    @theblackswordsman3579 3 ปีที่แล้ว +5

    This guy is saving my life

  • @f.whyyouhere
    @f.whyyouhere 5 หลายเดือนก่อน +1

    i feel like they need to show us your videos in school because they make so much more sense than my teacher

  • @NumairUddin-po7zk
    @NumairUddin-po7zk 15 วันที่ผ่านมา

    You helped me so much because I struggle in this topic a lot. Thank You ❤

  • @Bruno4B
    @Bruno4B 4 ปีที่แล้ว +15

    Do you need to cancel down a probability fraction? Also, thank you for all your help.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +10

      No you can leave it as it is 😁🙏🏼🙏🏼

  • @K4SP3R69
    @K4SP3R69 ปีที่แล้ว +1

    You make more sense than my actual maths teacher

  • @harjifs
    @harjifs 2 ปีที่แล้ว +2

    You must get so many views as people come to see your videos yearly

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +1

      It takes a long time but it’s getting there 😁🙏🏼

    • @hemanthsai6161
      @hemanthsai6161 2 ปีที่แล้ว

      @@TheGCSEMathsTutor i donot get it like hen u have mentioned cameron takes two random counters possibilites must be 5 right why 6?

  • @GamingWithJas-ff4yf
    @GamingWithJas-ff4yf 6 หลายเดือนก่อน

    As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊

  • @aryamrege9829
    @aryamrege9829 4 ปีที่แล้ว +6

    I have heard the formula P(A AND B) = P(A) * P(B) where A and B are independent events so why are we multiplying the probabilities when the events are dependent.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +4

      Aryam Rege We always multiply probabilities like these regardless of wether they are dependent/independent! For a more thorough description why it’s worth watching the video on the product rule for counting! 😁🙏🏼🙏🏼

  • @yousifalani3175
    @yousifalani3175 2 ปีที่แล้ว +2

    Just like you to know this helped alot mate I appreciate your time for doing this

  • @harriszahid2817
    @harriszahid2817 4 ปีที่แล้ว +7

    You teach harder questions then other websites i applaud that but i wish you would supply more exams for 2020 gcse

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +2

      Thank you 😁🙏🏼 All coming in good time!!

  • @justsomeone5660
    @justsomeone5660 2 ปีที่แล้ว +4

    thank you so much! this was quite helpful!

  • @GamingWithJas-ff4yf
    @GamingWithJas-ff4yf 6 หลายเดือนก่อน

    As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.

  • @Madni-pv1hv
    @Madni-pv1hv 2 ปีที่แล้ว +7

    11.07 .. Sir can u explain how one number
    Dropped down when 2 countes were taken

    • @readingamber
      @readingamber ปีที่แล้ว

      thats what im confused ab..

    • @yourlocalshortie4316
      @yourlocalshortie4316 11 หลายเดือนก่อน +1

      ​@@readingamber because they took them in 2 different "takes"
      So,like, :
      Person: takes one counter from the bag
      Same person: takes ANOTHER counter from the bag
      They took 2 marbles, but not at the same time

  • @Sharon_.x
    @Sharon_.x หลายเดือนก่อน

    thank you so much god bless you 🙏

  • @gemmakhan8419
    @gemmakhan8419 4 ปีที่แล้ว +13

    Great video. Just wondering why at 11:08 rr is 3/10. however in the question it says he takes two counters out at random. Is it me or is it just the way the question is worded

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +11

      Gemma Khan The question is worded strangely, when it says “two counters are removed” it means that one is removed, checked and then a further counter is taken on the second pick. So hence on this tree only one counter is removed by the time we reach the second branch. This language always confuses students in exams!! 😁🙏🏼

    • @gemmakhan8419
      @gemmakhan8419 4 ปีที่แล้ว +8

      @@TheGCSEMathsTutor oh that makes sense now. Thank you sir

  • @lolllhello7718
    @lolllhello7718 4 ปีที่แล้ว +5

    Helped me a lot

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 ปีที่แล้ว +8

    Nicely explained sir as usual!! Great intro and outro music!!

  • @Mucha.offical
    @Mucha.offical 4 ปีที่แล้ว +6

    YoU know the 2nd question shouldnt you take away 2 instead of 1 as he took 2 counters out?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +1

      SuperBob The first branch represents the first counter, the second set of branches represent the second counter that is taken, we can only use these trees to calculate one at a time, even though it says two are taken we are assuming this was one after another rather than reaching in and taking 2 at the same time! Hope this helps 😁🙏🏼

    • @kawlanonya833
      @kawlanonya833 3 ปีที่แล้ว

      i don't get it, does this mean that on the first branch he already took 1 counter?/ i get confused easily

    • @kawlanonya833
      @kawlanonya833 3 ปีที่แล้ว

      @@TheGCSEMathsTutor actually wait I think I know what your saying/ so it doesn't matter if they take 3 or 8 counters. we will only take one counter away?'

  • @CarolynZele
    @CarolynZele 5 หลายเดือนก่อน

    what video is the one you talk more about the terminology they use in these type of problems

  • @jarzo9259
    @jarzo9259 3 ปีที่แล้ว +2

    thank you so much

  • @As-iy2ki
    @As-iy2ki 3 ปีที่แล้ว +5

    At 8:20 what if 3 counters were taken at random?
    Would we have to do 3 branches?

    • @LolllaGigi
      @LolllaGigi หลายเดือนก่อน

      Add another tree

    • @As-iy2ki
      @As-iy2ki หลายเดือนก่อน

      @@LolllaGigi I finished my A-Levels at this point. Been 2 years since I have done so but thx for the reply I guess lol. I forgot about that comment.

  • @idekkkkkk5647
    @idekkkkkk5647 หลายเดือนก่อน

    for the biscuit question, wouldn't it just be easier to work out probability of getting the same type of biscuit and then doing 1 - Ans ?

  • @djamilaaaxo
    @djamilaaaxo 7 หลายเดือนก่อน

    17:57 / 20:19

  • @ibraheemali7044
    @ibraheemali7044 4 ปีที่แล้ว +4

    great revision video thanks

  • @tmax959
    @tmax959 3 ปีที่แล้ว +1

    Thank you

  • @minecraftlovaaa
    @minecraftlovaaa 3 ปีที่แล้ว +1

    Why 3/6 at 8:10 for the third tree diagram? Isn’t it 2/6? why did you add one to 2/6

  • @TosinOdetola-k7j
    @TosinOdetola-k7j 6 หลายเดือนก่อน +1

    Could this be on non calculator ?

  • @ia58
    @ia58 3 ปีที่แล้ว +1

    Thanks a lot

  • @roseanne9020
    @roseanne9020 3 ปีที่แล้ว +1

    thank you 💘

  • @estheraiyelabola6933
    @estheraiyelabola6933 2 ปีที่แล้ว +3

    Hello Mr. GCSE Maths Tutor, thank you for replying to my message. I have another question, for the second question, why wouldn't the 2nd bag be over 5? Thank you for always responding!

    • @estheraiyelabola6933
      @estheraiyelabola6933 2 ปีที่แล้ว +3

      Please don't worry, I understand now!😁😁😁

    • @senanamin9474
      @senanamin9474 2 ปีที่แล้ว

      @@estheraiyelabola6933 im confused why would it not be out if 5

  • @everythingtv4875
    @everythingtv4875 2 ปีที่แล้ว +1

    will u still get a mark if u simplify it?

  • @m7md_jawad
    @m7md_jawad 3 ปีที่แล้ว +2

    One doubt in the last question JACOB takes 2 sandwiches at random isn't we supposed to minus 2sandwiches from rest all in the second branches like 20/9 instead of 20/10

    • @minecraftlovaaa
      @minecraftlovaaa 3 ปีที่แล้ว

      that’s exactly what i’m thinking i’m confused by that as well

    • @elecaniv_0077
      @elecaniv_0077 2 ปีที่แล้ว +1

      @@minecraftlovaaa lads its just worded weirdly, it basically means he took one-then im guessing ate it, then he took another. so in essence he takes one, then he doesnt put it back AND THEN HE TAKES ANOTHER.. which is why it is minus one

    • @elecaniv_0077
      @elecaniv_0077 2 ปีที่แล้ว

      another way to say it is...The question is worded strangely, when it says “two sandwiches are removed” it means that one is removed, checked and then a further sandwich is taken on the second pick. So hence on this tree only one sandwich is removed by the time we reach the second branch. This language always confuses students in exams!! 😁🙏🏼

  • @Khaldoon.Arshad10
    @Khaldoon.Arshad10 ปีที่แล้ว

    Thank u so much. Sooo helpful🙂🙂

  • @craigthornton8154
    @craigthornton8154 3 ปีที่แล้ว +1

    Thankyou sir

  • @leia2017
    @leia2017 3 ปีที่แล้ว +2

    11:45 would i get the mark for the second question if it was simplified

  • @darnellbailey5038
    @darnellbailey5038 2 ปีที่แล้ว +1

    🐐

  • @frizzyred1292
    @frizzyred1292 2 ปีที่แล้ว +1

    But what if it's two reds he takes out? This is what confuses me. We are assuming he takes one red and then one blue. Help!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว +1

      You can only work on the assumption that one is taken at a time! 😁🙏🏼

    • @hemanthsai6161
      @hemanthsai6161 2 ปีที่แล้ว

      @@TheGCSEMathsTutor oh i get it thanks

  • @affanhadi3123
    @affanhadi3123 ปีที่แล้ว +1

    Thank yu

  • @magpiestudent9357
    @magpiestudent9357 2 ปีที่แล้ว

    Caroline learned the hard way that all of 20 of her biscuits now taste of ginger.

  • @oliviaaa2324
    @oliviaaa2324 3 ปีที่แล้ว +2

    could you please make a video on conditional probability?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +3

      This is conditional probability 😁🙏🏼

    • @oliviaaa2324
      @oliviaaa2324 3 ปีที่แล้ว +1

      @@TheGCSEMathsTutor by that I mean questions that have the 'Given that...'. do you understand what I mean?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +2

      @@oliviaaa2324 hmmm do you have any example questions? I’m sure I’ve covered it all! 🙏🏼

    • @oliviaaa2324
      @oliviaaa2324 3 ปีที่แล้ว +2

      @@TheGCSEMathsTutor in conditional probability questions you usually get wording such as "the probability that event A happens given that event B happens." that kind of wording confuses me personally and some questions are usually without tree diagrams. An example of a question:

    • @oliviaaa2324
      @oliviaaa2324 3 ปีที่แล้ว +2

      90 pupils were asked whether they owned a laptop or a tablet device.
      52 said they owned a laptop.
      45 said they owned a tablet.
      23 said they owned both.
      Find the probability that a pupil chosen at random owns a laptop, given that they own exactly one device.

  • @tyrionpapersdotcom
    @tyrionpapersdotcom ปีที่แล้ว

    tsym YOU are amazing when the teachers were explaining it at school i did not understand and when i watch your videos i understand

  • @chachachaudhary391
    @chachachaudhary391 2 ปีที่แล้ว

    thanks a lot 😁💥

  • @richardcollom1655
    @richardcollom1655 ปีที่แล้ว

    Are the answers still correct if simplified...

  • @lolllhello7718
    @lolllhello7718 4 ปีที่แล้ว +5

    1st like aswell

  • @harisamaan786
    @harisamaan786 2 ปีที่แล้ว +1

    Last question. Was in my exam I'll tell you what I got out of 54

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 ปีที่แล้ว

      Best of luck! Hope it went ok!

    • @harisamaan786
      @harisamaan786 2 ปีที่แล้ว

      @@TheGCSEMathsTutor 52 out of 54 the last question was a tree diagrams but it wasn't that simple it was triple tree event can u do a video on it

  • @samuellacobbinah
    @samuellacobbinah ปีที่แล้ว

    Please why was the second set of probability 2/6 and 3/6 instead of 1/5 and 2/5 ? because in the question, Cameron takes at random, two counters not one counter from the bag.

    • @SaqibRiaz-nr3zv
      @SaqibRiaz-nr3zv 7 หลายเดือนก่อน +1

      Don’t move your legs move your mind sis!!!!!!!

  • @amronyt7
    @amronyt7 10 หลายเดือนก่อน

    ty

  • @lamiyakhokon890
    @lamiyakhokon890 4 ปีที่แล้ว +2

    the second question could be an independent event, right? or is it just dependent? if so then why.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +2

      It is a dependent event as the probability of the second counter is dependent on the colour of the counter taken out on the first pick 😁🙏🏼

    • @lamiyakhokon890
      @lamiyakhokon890 4 ปีที่แล้ว +1

      @@TheGCSEMathsTutor thanks. got it. great video btw. :)

  • @themeredithbros3488
    @themeredithbros3488 2 ปีที่แล้ว

    Sir, i do not understand, when it says you take two biscuits out, shouldn't the denominator decrease by two and not one?

    • @justsomeone5660
      @justsomeone5660 2 ปีที่แล้ว +1

      yup same, have u figured it out yet?

    • @symcow8743
      @symcow8743 ปีที่แล้ว

      @@justsomeone5660 just assume that 1 counter is taken

  • @Estella473
    @Estella473 ปีที่แล้ว

    5:56 will I still get the mark if I simplify it my answer in calculator is simplified (15/28)

    • @Estella473
      @Estella473 ปีที่แล้ว

      Or if I write it as decimals

    • @jituwu
      @jituwu ปีที่แล้ว

      u dont need to just leave it as it is@@Estella473

  • @samuellacobbinah
    @samuellacobbinah ปีที่แล้ว

    Please the question that says, work out the probability that Ollie takes two of the same coloured counters, why didn't you multiply the probability of getting only red counters and only blue counters by two before adding them up. Because the question said the probability of two same coloured counters.

  • @rayhaan7860
    @rayhaan7860 ปีที่แล้ว +1

    im so dumb i watched the grade 7-9 playlist and got a grade 4 cuz i didnt know some of the first half of the paper

    • @rayhaan7860
      @rayhaan7860 ปีที่แล้ว

      what should i do pls tell me

    • @h_arks9691
      @h_arks9691 ปีที่แล้ว

      @@rayhaan7860 go over maths genie revision work sheets (they're by grade). You could also do some past papers for the foundation.

    • @rayhaan7860
      @rayhaan7860 ปีที่แล้ว

      @@h_arks9691 nah not foundation im doing higher for gcse

  • @Beck2008
    @Beck2008 6 วันที่ผ่านมา

    is this Edexcel

  • @Nilashaaaaa
    @Nilashaaaaa 2 ปีที่แล้ว

    I still don’t get it

  • @juhaalo7753
    @juhaalo7753 4 ปีที่แล้ว +8

    It’s funny how the video is 20:19 minutes long

    • @samreenimtiaz3075
      @samreenimtiaz3075 3 ปีที่แล้ว +1

      Its not ending on 2019 it is ending on 20:20

  • @kpopstan200
    @kpopstan200 ปีที่แล้ว

    i dont understand

  • @Maxtreon.
    @Maxtreon. 5 หลายเดือนก่อน

    Smh these guys be offending they teachers untill they get back to school only to realise they teachers been knowing it all along.
    Yall just play the fool in school and be a big brainer at home.
    Yall selves to blame.

  • @GamingWithJas-ff4yf
    @GamingWithJas-ff4yf 6 หลายเดือนก่อน

    As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊

  • @GamingWithJas-ff4yf
    @GamingWithJas-ff4yf 6 หลายเดือนก่อน

    As a set 1 i see people in the comments who find this harder than i do, and im the one thinking im bad at maths when it is easier for me to understand this at school then everyone else.😊