Can an infinity be the probability?

In probability theory, a probability distribution is infinitely divisible if it can be expressed as the probability distribution of the sum of an arbitrary number of independent and identically distributed (i.i.d.) random variables.

Can infinite sets be counted?

The number of elements in an infinite set goes to infinity, that is, we cannot determine the exact number of elements. Although we can have countable infinite sets whose elements can be counted.

Why should the sum of the probabilities in a probability distribution is always equal to 1?

The sum of the probabilities of all outcomes must equal 1 . If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. Two events A and B are independent if knowing that one occurs does not change the probability that the other occurs.

What is countably infinite set in discrete math?

A set is countably infinite if its elements can be put in one-to-one correspondence with the set of natural numbers. In other words, one can count off all elements in the set in such a way that, even though the counting will take forever, you will get to any particular element in a finite amount of time.

What is countably infinite sample space?

A set is countably infinite if its elements can be put in one-to-one correspondence with the set of natural numbers. Countably infinite is in contrast to uncountable, which describes a set that is so large, it cannot be counted even if we kept counting forever.

When an event is impossible to happen its probability is?

What is the Probability of an Impossible Event? The probability of an impossible event is 0. Impossible events can’t occur.

Why should the sum of the probabilities in probability distribution is always equal to 1 Brainly?

If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.