Table of Contents

- 1 What is the value of P if A and B are independent?
- 2 What is the value of P a B then A and B are two independent?
- 3 When events A and B are said to be independent What does that mean?
- 4 What is the probability that A and B are independent?
- 5 What is P(A) A ∪ B?
- 6 How do you find the probability of a union?

## What is the value of P if A and B are independent?

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. All you do is multiply the probability of one by the probability of another.

## What is the value of P a B then A and B are two independent?

P(A/B) = P(A).

**What Does It Mean If A and B are independent?**

Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.

### When events A and B are said to be independent What does that mean?

Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

### What is the probability that A and B are independent?

Hence events A and B are independent. Example 8: Let A and B are two independent events. The probability that both A and B occur together is 1 / 6 and the probability that neither of them occurs is 1 / 3. The probability of occurrence of A is

**What is the probability of simultaneous occurrence of two independent events?**

Probability of simultaneous occurrence of two independent events is equal to the product of their probabilities. Theorem 2: If A1,A2,…An are independent events associated with a random experiment, then P (A1⋂A2⋂A3….⋂An) = P (A1) P (A2)P (A3)….P (An) How are independent events and mutually exclusive events different?

#### What is P(A) A ∪ B?

Another way to think about the problem is that P ( A ∪ B) is the probability of either A or B (or both), and this must be equal to one minus the probability that A does not happen and that B does not happen. Symbolically, P ( A ∪ B) = 1 − P ( A ¯ ∩ B ¯). and then noting that P ( A ∩ B) = P ( A) ⋅ P ( B) because A and B are independent.

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

Probability of union is P (A)+P (B)-P (intersection). P (intersection) is also known as P (A and B), which for independent events is equal to P (A)*P (B). Therefore, substituting the numbers, one gets Probability of union=1/2+1/3- (1/2)* (1/3)=2/3. This can be best visualised through the use of a Venn diagram.