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

satellite73Best ResponseYou've already chosen the best response.1
link isn't working for me
 2 years ago

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

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

satellite73Best ResponseYou've already chosen the best response.1
ok it is the same problem as last time yes?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
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.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
start 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?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
of course replace n by 4
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
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 .
 2 years ago

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

satellite73Best ResponseYou've already chosen the best response.1
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
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you already know the answer is 1/2 so far correct. so we just need the proof
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
first trick to to say that the rod has length one so we can dispense with ratios
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
so it looks something like this 0 abc1 where a, b, c are the points chosen at random to break up the rod
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
now the question is "when would you not get a quadrilateral\"
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
now i am just reading along what i sent, replacing n by 4
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
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 \[(\frac{1}{2})^3\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
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.
 2 years ago
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