I Non-countable uniform spaces probability

AI Thread Summary
The discussion centers on calculating the probability that a randomly chosen point inside a circle is closer to the center than to the circumference. It highlights the importance of defining the probability distribution for selecting the point, as this affects the outcome. Clarifications are made regarding the definitions of the center and radius, emphasizing that the radius is a numerical value without a specific location. The conversation also questions whether a diagram is provided to illustrate the radius as a designated line segment. The complexities of the problem stem from these definitions and the need for a clear probability distribution.
Simonel
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A point is chosen at random inside a circle.Find the probability 'p' that the point chosen is closer to the center of the circle than to its radius.
This comes from the noncountable uniform spaces sections.
 
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Simonel said:
A point is chosen at random inside a circle.Find the probability 'p' that the point chosen is closer to the center of the circle than to its radius.
This comes from the noncountable uniform spaces sections.

It depends on how you choose the point, surely?

PS: I guess you mean closer to the centre than the circumference.
 
In or der to get the probability of a point chosen at random, requires knowing a probability distribution. This may sound a bit circular, but that's the way it is.
 
mathman said:
In or der to get the probability of a point chosen at random, requires knowing a probability distribution. This may sound a bit circular, but that's the way it is.
This is the way the problem is given and also the answer. :/
 
Simonel said:
This is the way the problem is given and also the answer. :/

The "center" of the circle is a point which has a location in 2D. The "radius" of a circle is a number, which has no particular location in 2D. A "radius" is not a particular line segment. Does the problem have a diagram where a particular line segment is designated as the radius?
 
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