A-Level Maths: M1-03 [Probability: Finding Probabilities from a Venn Diagram]

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  • Опубліковано 26 січ 2025

КОМЕНТАРІ • 31

  • @melissacartaya7592
    @melissacartaya7592 2 роки тому +30

    You made this easy, somehow. I have literally shed tears today trying to figure this out. I was turned away by tutors at my university because my math class wasn't "advanced" enough for them to help me. Thank you, kind stranger, for helping me. I'm so thankful for the helpers of the world like you.

  • @skymans9142
    @skymans9142 2 роки тому +7

    thanks for the funny shapes mr. maths man, you don't realize how much of a visual learner you are until you are

  • @georginaward1248
    @georginaward1248 4 роки тому +21

    Really clear and helpful, thank you

  • @Doodo981
    @Doodo981 5 років тому +19

    I’m still a bit confused on the last one, could you try and explain it in a different way

    • @TLMaths
      @TLMaths  5 років тому +43

      P(A'uB') represents anything in the region "not A", anything in the region "not B", and anything in the overlap of these two regions. So "not A" is the 8 and 4, "not B" is the 15 and 4, and the overlap of course is the 4. So P(A'uB') = (8 + 15 + 4)/30 = 27/30 = 9/10

    • @kylezinho_
      @kylezinho_ 4 роки тому +10

      @@TLMaths Brilliant explanation 👍

  • @kingbao9733
    @kingbao9733 3 роки тому +2

    This man had a cool brain

  • @kristentett5635
    @kristentett5635 3 роки тому +6

    So helpful !!

  • @kingbao9733
    @kingbao9733 3 роки тому +2

    If a question ask you to write down a mutaully exclusive pair, from a ven diagram how would you write it?

    • @TLMaths
      @TLMaths  3 роки тому +2

      The Venn diagram would show two circles that don't intersect.

  • @tofjackn8376
    @tofjackn8376 2 роки тому +1

    If you had two venn diagrams and you were told neither A or B is 0.1. Which sections of the venn diagram would it be? Also whats would the notation be... would it be P(A'uB')

    • @TLMaths
      @TLMaths  2 роки тому +5

      I would assume they're meaning everything outside of the two circles is 0.1.
      This can be represented as P((AuB)') or as P(A'nB')

    • @tofjackn8376
      @tofjackn8376 2 роки тому

      @@TLMaths Yup, Thanks

  • @phoebemuhalya3629
    @phoebemuhalya3629 3 роки тому +2

    Very elaborate

  • @valencunanan9936
    @valencunanan9936 4 роки тому +3

    Thank you so much

  • @H1289-h8o
    @H1289-h8o 3 роки тому +1

    Why do you add up the total surely for the first one it would just be 2/4

    • @TLMaths
      @TLMaths  3 роки тому +3

      Is this for P(A)?
      Where are you getting the 2 and the 4?

  • @sarahalawadh5447
    @sarahalawadh5447 2 роки тому

    for question g why didn't you add 4 to eight because it said A' so shouldn't we add the 4, a bit confused

    • @TLMaths
      @TLMaths  2 роки тому +2

      It's asking for the overlap of A' and B. That only happens with the 8.

  • @maeanriellegeniza200
    @maeanriellegeniza200 3 роки тому +3

    Thank you😭💜

  • @erinok_vibes
    @erinok_vibes 2 роки тому

    What about p(a'ub)

    • @TLMaths
      @TLMaths  2 роки тому +1

      In this example, P(A'uB) would be P(A') + P(B) - P(A'nB) = 12/30 + 11/30 - 8/30 = 15/30 = 1/2

  • @YRCTDG
    @YRCTDG 2 роки тому +1

    I am so lost about the last one

    • @TLMaths
      @TLMaths  2 роки тому +2

      Might using the formula help?
      P(A'uB') = P(A') + P(B') - P(A'nB')

  • @JJFHNREHJEDK
    @JJFHNREHJEDK 3 роки тому +3

    I thought P(AuB) = P(A) + P(B) - P(AnB)
    So for part e why woudn't it be (15+8-3)/30 ?

    • @TLMaths
      @TLMaths  3 роки тому +4

      No, P(A) = 18/30 (as in part a.), and P(B) = 11/30 (as in part c.).
      So P(AuB) = 18/30 + 11/30 - 3/30 = (18 + 11 - 3)/30 = 26/30 = 13/15

    • @JJFHNREHJEDK
      @JJFHNREHJEDK 3 роки тому

      @@TLMaths ohhh right - thanks so much for ur quick reply

  • @XedElectrix
    @XedElectrix 2 роки тому +1

    What if it was P(AuB') or vice versa?

    • @TLMaths
      @TLMaths  2 роки тому +2

      Well P(AuB') = P(A) + P(B') - P(AnB')
      which in the case of this video is
      = 18/30 + 19/30 - 15/30 = 22/30 = 11/15

    • @XedElectrix
      @XedElectrix 2 роки тому +1

      @@TLMaths thank you so much. i managed to get an A+ on my Math test thanks to you.

    • @mfunekonomvalo6
      @mfunekonomvalo6 Рік тому

      P(AnB) = 3/30?