# What is the difference between independent events and dependent events?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

**Independent Events** The probability of one event happening isn't influenced by the outcome of another.

In mathematical terms

This reads: Probability of A and B happening is equal to the probability of A happening multiplied by the probability of B happening

An equivalent definition

This reads: The probability of A given B happened is equal the probability of A

**Example:**

Event A: Rolling a number larger than four on a die in the first roll Event B: Rolling a 6 on a die on the second roll. These events are independent because one roll of a dice doesn't influence the outcome of another dice roll.

**Dependent Events** Is the oposite.If the outcome of one event influences the probability of the other they aren't independent

**Example:**

Event A: Rolling a number larger than four on a die Event B: Rolling a 6 on a die on the same roll. These events are dependent because ,as we are in the same dice roll, the occurrence of event B changes the probability of event A, actually it makes it 1.

**Observation:**

Pay attention that if you are dealing with more than 2 event, for them to be mutually independent every possible combination of them must be. For example, if we are dealing with 3 events, independence means that:

Describe your changes (optional) 200