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Every member in the population has the same probability of being in the sample.Or, equivalently, every set of the given sample size has the same probability of being selected.
It is called the probability of the set of outcomes!
Each member of the population has the same probability of being in the sample as any other. Equivalently, any set of members of the given sample size has the same probability of being selected as any other set.
Each member of the population must have the same probability of being included in the sample. Equivalently, each set of elements comprising a sample must have the same probability of being selected.
A set of outcomes are said to be equally like if the probability for the occurrence of any of the is the same as that for any other. The phase, "at random" is used to indicate that the probability for each individual outcome is the same.
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
It is the outcome space.
When talking about sets, it is fairly standard to use Capital Letters to represent the set, and lowercase letters to represent an element in that set. So for example, A is a set, and a is an element in A. Same with B and b, and C and c.
0.46
The probability of an event, such as selecting a multiple of two from a set of numbers, depends on the size of the set and how many of those numbers are multiples of two. For example, in the set of integers from 1 to 10, there are five multiples of two (2, 4, 6, 8, 10). Thus, the probability P(multiple of two) in this case would be 5 out of 10, or 0.5. To determine the probability in a different context, simply apply the same principle by counting the multiples of two in the given set and dividing by the total number of elements in that set.
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.