Re: Probability of random numbers chosen in [0,1]

In article <ef23401.-1@xxxxxxxxxxxxxxxx>, "Sandra Evag"
<sandra_evag@xxxxxxxxx> wrote:

> We choose two numbers in [0,1]. We want to find the probability their
> distance to be smaller than 0,5 and also the distribution of their
> distance. Could anyone help me? thank you in advance.
------------------
A little off-topic, but I'll answer it. Let x and y be the numbers. In
the unit square, 0<=x<=1, 0<=y<=1, the area of a region gives its
probability, since I presume your numbers are independently chosen. Draw
the lines y = x + .5 and y = x - .5 and you can immediately see that the
area between them is 3/4. Change the .5 to s and you can get a general
formula: 2*s-s^2.

(Remove "xyzzy" and ".invalid" to send me email.)
Roger Stafford
.

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