Table of Contents

- 1 How can you find P A or B when A and B are mutually exclusive?
- 2 For what value of Pb are A and B mutually exclusive?
- 3 Are A and B mutually exclusive events?
- 4 When A and B are two non empty and mutually exclusive events then P A ∪ b/p a p b?
- 5 When are A and B mutually exclusive events?
- 6 How do you find the probability of two mutually exclusive events?

## How can you find P A or B when A and B are mutually exclusive?

If two events A and B are mutually exclusive, the events are called disjoint events. The probability of two disjoint events A or B happening is: p(A or B) = p(A) + p(B).

### For what value of Pb are A and B mutually exclusive?

= 0

Given two events, A and B, they are mutually exclusive if (A П B) = 0. If these two events are mutually exclusive, they cannot be independent.

#### Are A and B mutually exclusive events?

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) Therefore, A and C are mutually exclusive.

**What if A and B are mutually exclusive events then?**

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. Therefore, A and C are mutually exclusive.

**How do you find a union B if mutually exclusive?**

Mutually Exclusive

- A and B together is impossible: P(A and B) = 0.
- A or B is the sum of A and B: P(A or B) = P(A) + P(B)

## When A and B are two non empty and mutually exclusive events then P A ∪ b/p a p b?

Let us now discuss the difference between mutual exclusivity and independence. Let A and B be two non-empty events (if one of the events is empty, then it has zero probability of occurring, so this is not very interesting). If A and B are mutually exclusive, then P(A ⋂ B) = P(φ) = 0.

### When are A and B mutually exclusive events?

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. For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, and C = {7, 9}.

#### How do you find the probability of two mutually exclusive events?

If A and B are said to be mutually exclusive events then the probability of an event A occurring or the probability of event B occurring is given as P(A) + P(B) P (A or B) = P(A) + P(B) Some of the examples of the mutually exclusive events are: When tossing a coin, the event of getting head and tail are mutually exclusive.

**What is the probability of P(A and B) if A and B?**

As most of the answers have pointed out, P (A and B) is necessarily 0 if A and B are mutually exclusive. Because the definition of “mutually exclusive” actually MEANS that the probability of P (A and B) is 0!! However, I suspect the questioner really meant: What is the probability of A OR B if A and B are mutually exclusive?

**What are the two laws of probability?**

Probability Laws Two events A and B are called mutually exclusive if they have no outcomes in common; that is, A and B = impossible event (empty set). Three or more events are called mutually exclusive if they are pairwise mutually exclusive; that is, no two of them have outcomes in common.