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A set which is made up only of isolated points is called a discrete set.
It isn't. The empty set is not a proper subset of the empty set.The empty set is a subset of every set, for the following reason. "A" is a subset of "B" means that if an item "x" is an element of "A", then it is also an element of "B".(x is element of A) implies (x is element of B)Since the empty set has no elements, the left part of the implication is false. Therefore, the entire implication is true. If you have trouble grasping this last part, look up the Wikipedia article, or other sources, for "trivially true" or "vacuous truth". (Briefly, an implication, like "F implies G", can only be false if "F" is true, and "G" is false - in all other cases, it is true.)
The probability of a certain set of numbers coming up in the lottery is equal to the probability of any other set of numbers coming up. Just because a certain set of numbers came up, that does not mean that the same set of numbers is more or less likely to come up again.
a set of data that is made up of two paired variables