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25 Sep 2003, 07:58
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1) there is a square in the XY co-ordinate system with its vertices
as {(1,1), (1,-1), (-1,-1), (-1,1)}. What is the probability that a
point picked at random within this square region will satisfy the
equation x^2+y^2<1?
2) if 2 numbers are chosen from 0-9 inclusive, what is the
probability that its product will be even?
as {(1,1), (1,-1), (-1,-1), (-1,1)}. What is the probability that a
point picked at random within this square region will satisfy the
equation x^2+y^2<1?
2) if 2 numbers are chosen from 0-9 inclusive, what is the
probability that its product will be even?
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25 Sep 2003, 09:04
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(1) X^2+Y^2<1 is an origin-center circle, its radius being 1.
So, employ the geometrical sense of the probability: the favorable area/the total area
FA=pi
TA=4
P=pi/4
(2) P(an even product of the two)=1-P(odd,odd)=1-[5/10*4/9]=1-2/9=7/9
So, employ the geometrical sense of the probability: the favorable area/the total area
FA=pi
TA=4
P=pi/4
(2) P(an even product of the two)=1-P(odd,odd)=1-[5/10*4/9]=1-2/9=7/9
