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Akshay_Budhkar Group Title

satellite plz help with the probability question!!!!

  • 3 years ago
  • 3 years ago

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  1. hafizaliimran Group Title
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    yup

    • 3 years ago
  2. Akshay_Budhkar Group Title
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    try it hafiz..

    • 3 years ago
  3. satellite73 Group Title
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    hello

    • 3 years ago
  4. Akshay_Budhkar Group Title
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    hello.. i tried it.. no use

    • 3 years ago
  5. satellite73 Group Title
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    link isn't working for me

    • 3 years ago
  6. Akshay_Budhkar Group Title
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    we can solve here

    • 3 years ago
  7. Akshay_Budhkar Group Title
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    a rod is divided in 4 parts.. probability that it is a quadrilateral?

    • 3 years ago
  8. satellite73 Group Title
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    ok it is the same problem as last time yes?

    • 3 years ago
  9. Akshay_Budhkar Group Title
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    yes

    • 3 years ago
  10. satellite73 Group Title
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    not sure what you mean. i meant use the second proof in the paper i sent you. not the volume one, but the line segment one.

    • 3 years ago
  11. satellite73 Group Title
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    start an page 186 at the line "construction of an n-gon will be impossible of AB is longer than 1/2" do you see where i mean?

    • 3 years ago
  12. satellite73 Group Title
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    of course replace n by 4

    • 3 years ago
  13. satellite73 Group Title
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    i am here.

    • 3 years ago
  14. satellite73 Group Title
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    i may be easier to do this in chat, or quicker, but i can write the idea of the proof here. i am just mimicking the proof i sent you in the pfd .

    • 3 years ago
  15. Akshay_Budhkar Group Title
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    you can come in chat?

    • 3 years ago
  16. satellite73 Group Title
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    you have a "rod" stick whatever and you are going to break it into 4 parts by picking 3 points uniformly at random, and the question is what is the probability that you can make a quadrilateral

    • 3 years ago
  17. Akshay_Budhkar Group Title
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    yes

    • 3 years ago
  18. satellite73 Group Title
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    you already know the answer is 1/2 so far correct. so we just need the proof

    • 3 years ago
  19. Akshay_Budhkar Group Title
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    yes

    • 3 years ago
  20. satellite73 Group Title
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    first trick to to say that the rod has length one so we can dispense with ratios

    • 3 years ago
  21. Akshay_Budhkar Group Title
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    ya

    • 3 years ago
  22. satellite73 Group Title
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    so it looks something like this 0 --------------a-----------------b--------------------------c-------------------------1 where a, b, c are the points chosen at random to break up the rod

    • 3 years ago
  23. satellite73 Group Title
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    now the question is "when would you not get a quadrilateral\"

    • 3 years ago
  24. satellite73 Group Title
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    now i am just reading along what i sent, replacing n by 4

    • 3 years ago
  25. satellite73 Group Title
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    construction of a quadtrilateral will be impossible if \[\overline{0a}\] is bigger than one half, i.e. if all three points are to the right of the midpoint of the segment. the probability that one is to the right is 1/2 and all three to the right would be \[(\frac{1}{2})^3\]

    • 3 years ago
  26. satellite73 Group Title
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    the same is true for the other three segments, and the probability that each of them is bigger than one half is also 1/8 so the probability of failure is 4 times 1/8 = 1/2 and therefore so is the probability of success.

    • 3 years ago
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