How do you find P AUB if A and B are mutually exclusive?

How do you find P AUB if A and B are mutually exclusive?

If two events, A and B are mutually exclusive then, P(A U B) = P(A) + P(B).

How do you know if events A and B are mutually exclusive?

A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0. and is not equal to zero.

What is the probability of P B A When two events A and B are independent?

Probability Rule Six (The Multiplication Rule for Independent Events): If A and B are two INDEPENDENT events, then P(A and B) = P(A) * P(B).

For what choice of P are A and B independent?

Theorem 1. The events A and B are independent if P(A ∩ B) = P(A) P(B). or, P(A ∩ B)

How do you calculate probability of AUB?

P(AUB) = P(A) + P(B) – P(AB).

What are mutually inclusive events?

Mutually inclusive events have some overlap with each other. For example, the events “buying an alarm system” and “buying bucket seats” are mutually inclusive, as both events can happen at the same time. In other words, a car buyer can opt to buy and alarm and bucket seats.

Are the events A and B mutually exclusive?

It is the ANSWER to question (a). (b) Since P (A and B) is not equal to 0 (zero, ZERO), the events A and B are NOR mutually exclusive. ANSWER Notice : for mutually exclusive events X and Y, P (X and Y) = 0.

What is an independent event in probability?

Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. For example, the outcomes of two roles of a fair die are independent events.

What are the conditions for two events to be independent?

The outcome of the first roll does not change the probability for the outcome of the second roll. To show two events are independent, you must show only one of the above conditions. If two events are NOT independent, then we say that they are dependent. Sampling may be done with replacement or without replacement.