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Akshay_Budhkar

  • 3 years ago

satellite plz help with the probability question!!!!

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  1. hafizaliimran
    • 3 years ago
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    yup

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

  3. satellite73
    • 3 years ago
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    hello

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

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

  6. Akshay_Budhkar
    • 3 years ago
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    we can solve here

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

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

  9. Akshay_Budhkar
    • 3 years ago
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    yes

  10. satellite73
    • 3 years ago
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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.

  11. satellite73
    • 3 years ago
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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?

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

  13. satellite73
    • 3 years ago
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    i am here.

  14. satellite73
    • 3 years ago
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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 .

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

  16. satellite73
    • 3 years ago
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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

  17. Akshay_Budhkar
    • 3 years ago
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    yes

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

  19. Akshay_Budhkar
    • 3 years ago
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    yes

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

  21. Akshay_Budhkar
    • 3 years ago
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    ya

  22. satellite73
    • 3 years ago
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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

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

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

  25. satellite73
    • 3 years ago
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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 \[(\frac{1}{2})^3\]

  26. satellite73
    • 3 years ago
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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.

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