# How do you find the probability of a union B complement?

**probability**addition rule for the

**union**of two events states that P(A∪

**B**)=P(A)+P(

**B**)−P(A∩

**B**) P ( A ∪

**B**) = P ( A ) + P (

**B**) − P ( A ∩

**B**) , where A∩

**B**A ∩

**B**is the

**intersection**of the two sets. The addition rule can be shortened if the sets are disjoint: P(A∪

**B**)=P(A)+P(

**B**) P ( A ∪

**B**) = P ( A ) + P (

**B**) .

Similarly, it is asked, how do you find the probability of a complement?

A mutually exclusive pair of events are **complements** to each other. For example: If the desired outcome is heads on a flipped coin, the **complement** is tails. The **Complement** Rule states that the sum of the **probabilities** of an event and its **complement** must equal 1, or for the event A, P(A) + P(A') = 1.

Secondly, what is the formula of P AUB? **P**(**AUB**) = **P**(AB^{c} U A^{c}B U AB ). **P**(**AUB**) = **P**(AB^{c}) + **P**(A^{c}B) + **P**(AB). **P**(A) + **P**(B) = **P**(AB^{c})+ **P**(A^{c}B) +2×**P**(AB). This would be **P**(**AUB**), but for the fact that **P**(AB) is counted twice, not once.

Herein, what is probability of a intersection B complement?

The **complement** of an event is the event not occurring. The **probability** that Events A and **B** both occur is the **probability** of the **intersection** of A and **B**. The **probability** of the **intersection** of Events A and **B** is denoted by P(A ∩ **B**). If Events A and **B** are mutually exclusive, P(A ∩ **B**) = 0.

What is the rule of complements?

In statistics, the **complement rule** is a theorem that provides a connection between the probability of an event and the probability of the **complement** of the event in such a way that if we know one of these probabilities, then we automatically know the other one.