@Aditya: If you are comfortable with working with fractions of area,
with area being a real number, then why not length, also being a real
number? The probability of a randomly selected point in the interval
[1, 100] satisfying a + 100/a < 50 is exactly sqrt(2100)/99.
Dave
On Sep 1, 3:43 am, Aditya Virmani <virmanisadi...@gmail.com> wrote:
> the space in tht case is restricted... my point is...number of points in a 4
> m2 area wud be exactly 4 times of the number of points in 1 m2 area... so we
> r actually talking over area in ur qn...now if i were to say...tht find the
> probability tht it will hit the target at coordinate (0,0) ... tht wud be
> close to 0...
>
>
>
> On Thu, Sep 1, 2011 at 2:57 AM, Dave <dave_and_da...@juno.com> wrote:
> > @Aditya. There are an infinite number of points in that target, too.
> > But we don't have any trouble saying that 1/4 of them are in the
> > bullseye.
>
> > Dave
>
> > On Aug 31, 4:07 pm, Aditya Virmani <virmanisadi...@gmail.com> wrote:
> > > @DAVE again u r considering a finite space... in the above case...but how
> > > wud u take the space in real number thing...with no particular info....
> > thr
> > > r infinite real number frm 1-100...if i cud change the qn to find the
> > > probability the chosen number is in the range a to a+1 ...thn it cud be
> > > aptly answered
>
> > > On Tue, Aug 30, 2011 at 10:10 AM, Dave <dave_and_da...@juno.com> wrote:
> > > > @AnikKumar: Most people normally wouldn't have difficulty with
> > > > probabilities on the real numbers. E.g., there is a target with two
> > > > regions, the bullseye with radius 1 and a concentric region with
> > > > radius 2. What is the probability of a randomly-thrown dart hitting
> > > > the bullseye, given that it hits the target? Most people would say
> > > > that since the area of the bullseye is 1/4 the area of the target, the
> > > > probability is 1/4. Wouldn't you say that, too?
>
> > > > Dave
>
> > > > On Aug 29, 11:15 pm, AnilKumar B <akumarb2...@gmail.com> wrote:
> > > > > Agree with Don.
>
> > > > > But what if we want to find probability of on real line?
>
> > > > > How we can consider R as sample space?
>
> > > > > Is that Sample space should be COUNTABLE and FINITE?
>
> > > > > *By the quadratic formula, a is 2.08712 or 47.9128.
> > > > > The range is 45.8256.
> > > > > A falls in the range of 1..100 or 99. So the probability is
> > 47.9128/99*
> > > > > *
> > > > > *
> > > > > *Here you are considering Sample space as length of the interval,
> > right?
> > > > but
> > > > > i think it should be cardinal({x/x belongs to Q and x belongs to
> > > > [1,100]}).*
>
> > > > > On Fri, Aug 26, 2011 at 2:04 AM, Aditya Virmani <
> > > > virmanisadi...@gmail.com>wrote:
>
> > > > > > +1 Don... nthin is specified fr the nature of numbers if thy can be
> > > > > > rational or thy hav to be only natural/integral numbers...
>
> > > > > > On Wed, Aug 24, 2011 at 9:33 PM, Don <dondod...@gmail.com> wrote:
>
> > > > > >> First find the endpoints of the region where the condition is met:
>
> > > > > >> a + 100/a = 50
> > > > > >> a^2 - 50a + 100 = 0
> > > > > >> By the quadratic formula, a is 2.08712 or 47.9128.
> > > > > >> The range is 45.8256.
> > > > > >> A falls in the range of 1..100 or 99. So the probability is
> > 47.9128/99
> > > > > >> = 0.48397
>
> > > > > >> Don
>
> > > > > >> On Aug 23, 11:56 am, ramya reddy <rmy.re...@gmail.com> wrote:
> > > > > >> > Let 'a' be a number between 1 and 100. what is the probability
> > of
> > > > > >> choosing
> > > > > >> > 'a' such that a+ (100/a) <50
>
> > > > > >> > --
> > > > > >> > Regards
> > > > > >> > Ramya
> > > > > >> > *
> > > > > >> > *
> > > > > >> > *Try to learn something about everything and everything about
> > > > something*
>
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