What is the probability that both A and B occur?

If A and B are independent, then the probability that events A and B both occur is: p(A and B) = p(A) x p(B). In other words, the probability of A and B both occurring is the product of the probability of A and the probability of B.

What is mutually disjoint?

We say that the sets in A are mutually disjoint if no two of them have any elements in common. In other words, if A,B∈A, and A≠B, then A∩B=∅.

What is disjoint and non disjoint?

In mathematics, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are sets whose intersection is the empty set. For example, 1, 2, 3 and 4, 5, 6 are disjoint sets, while 1, 2, 3 and 3, 4, 5 are not disjoint.

What is the probability of A and B dependent?

If A and B are dependent events, then the probability of A happening AND the probability of B happening, given A, is P(A) × P(B after A).

When two events are mutually exclusive the probability that A or B will occur is?

If two events are mutually exclusive then the probability of both the events occurring at the same time is equal to zero. P(A and B) = 0.

Are a C and B C mutually exclusive?

(a) If events A and B are mutually exclusive and collectively exhaustive, are Ac and Bc mutually exclusive? Solution Ac ∩ Bc = (A ∪ B)c = Ωc = 0. Thus the events Ac and Bc are mutually exclusive.

Does the probability of A or B include A and B?

Given two events, A and B, to “find the probability of A or B” means to find the probability that either event A or event B occurs. We typically write this probability in one of two ways: P(A or B) – Written form. P(A∪B) – Notation form.

Are mutually exclusive events disjoint?

Disjoint events are events that never occur at the same time. These are also known as mutually exclusive events.

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