What is probability of A and B?

What is probability of A and B?

The probability of A and B means that we want to know the probability of two events happening at the same time. Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn’t affect the other, you have an independent event.

How do you find the probability of an intersection B?

P(A∩B) = P(A) P(B) only when events A and B are independent. (When dealing with more than two events we require mutual independence.) The Addition Rule applies only when the events are mutually exclusive (also known as disjoint). Only then is the probability of the union equal to the sum of probabilities of the event.

What is a intersection B?

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).

What is a disjoint probability?

The probability of any event A is If two events have no outcomes in common, then they are called disjoint. For example, the possible outcomes of picking a single marble are disjoint: only one color is possible on each pick.

What is the probability of two disjoint events?

If two events are disjoint, then the probability of them both occurring at the same time is 0. If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.

Can 2 disjoint events be independent?

Two disjoint events can never be independent, except in the case that one of the events is null. Events are considered disjoint if they never occur at the same time. For example, being a freshman and being a sophomore would be considered disjoint events.

Why is the probability of an event never greater than 1?

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Is the probability of a given b the same as the probability of B given a?

Is the probability of “A given B” the same as the probability of “B given A?” Explain. Yes, because due to the General Multiplication Rule, it doesn’t matter which set is A and which set is B. You hvae to multiply the probability of A and the probability of B to find the outcome.

What does B given a mean?

P(B|A) means “Event B given Event A” In other words, event A has already happened, now what is the chance of event B? P(B|A) is also called the “Conditional Probability” of B given A.