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There seems to be some confusion over why picking a particular value from a continuous line is zero. Say the chance of picking any point on a continuous line is equal to picking any other point. There are an infinite number of \
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There seems to be some confusion over why the odds of picking a particular point from a continuous line is zero. Say the chance of picking any point on a continuous line is equal to picking any other point. There are an infinite number of \\\"points\\\" on this line. So since the odds are all equal, the chance of picking any one point is 1 / infinity = 0, to abuse notation. Think of it this way: The chance to pick any one number out of a very large set is 1 / # of elements in the set, if all odds are equal. Of course, as any student of basic calculus knows, limit x tends to infinity of 1 / x is...
Changed line(s) 1 from:
n
There seems to be some confusion over why picking a particular value from a continuous line is zero. Say the chance of picking any point on a continuous line is equal to picking any other point. Then there are infinite \
to:
There seems to be some confusion over why picking a particular value from a continuous line is zero. Say the chance of picking any point on a continuous line is equal to picking any other point. There are an infinite number of \\\"points\\\" on this line. So since the odds are all equal, the chance of picking any one point is 1 / infinity, to abuse notation. Think of it this way: The chance to pick any one number out of a very large set is 1 / # of elements in the set, if all odds are equal. Of course, as any student of basic calculus knows, limit x tends to infinity of 1 / is...
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