Permutations are considered, but not computed or listed properly. The probability of selecting any collection of n objects is equal to the probability of selecting any other collection of n objects. The probability of selecting any object is equal to the probability of selecting any other object. Any sample which is representative of the population is considered to be a random sample. The probability of a repeatable event is the frequency with which it occurs in the long run.
Probability can be a subjective measurement of belief.
To find the probability of an event, an experiment must be conducted many times to obtain the relative frequency. As the number of trials increases, the probability of observing the expected number decreases. As the number of trials increases, the probability of observing the expected number does not change. As the number of trials increases, the probability of observing the expected number increases. Also, given n independent Bernoulli trials that occur with probability p , compute the probability of at least k successes or at most k successes.