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Akshay_Budhkar
 3 years ago
Best ResponseYou've already chosen the best response.3hello.. i tried it.. no use

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1link isn't working for me

Akshay_Budhkar
 3 years ago
Best ResponseYou've already chosen the best response.3we can solve here

Akshay_Budhkar
 3 years ago
Best ResponseYou've already chosen the best response.3a rod is divided in 4 parts.. probability that it is a quadrilateral?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1ok it is the same problem as last time yes?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1not 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.

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1start an page 186 at the line "construction of an ngon will be impossible of AB is longer than 1/2" do you see where i mean?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1of course replace n by 4

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1i 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 .

Akshay_Budhkar
 3 years ago
Best ResponseYou've already chosen the best response.3you can come in chat?

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1you 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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1you already know the answer is 1/2 so far correct. so we just need the proof

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1first trick to to say that the rod has length one so we can dispense with ratios

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1so it looks something like this 0 abc1 where a, b, c are the points chosen at random to break up the rod

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1now the question is "when would you not get a quadrilateral\"

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1now i am just reading along what i sent, replacing n by 4

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1construction 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 \[(\frac{1}{2})^3\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1the 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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