# How do you find the probability of A and B dependent?

**dependent**, then P(A and

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

**B**|A) which is the

**probability**of A times the

**probability**of "

**B**happening if A has occurred," which is different than the "

**Probability**of

**B**if A has not occurred."

Regarding this, how do you find the probability of A and B if they are dependent?

The **probability of A and B** means **that we** want to know the **probability** of two events happening at the same time. There's a couple of different formulas, depending on **if** you have **dependent** events or independent events. Formula for the **probability of A and B** (independent events): p(A and **B**) = p(A) * p(**B**).

**B**|A), notation for the probability of

**B given A**. In the case where events A and

**B**are independent (where event A has no effect on the probability of event

**B**), the conditional probability of event

**B given**event A is simply the probability of event

**B**, that is P(

**B**). P(A and

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

**B**|A).

Likewise, people ask, what is the probability of a given b?

If A and **B** are two events in a sample space S, then the conditional **probability of A given B** is defined as P(A|**B**)=P(A∩**B**)P(**B**), when P(**B**)>0.

Divide the number of events by the number of possible outcomes. This will give us the **probability** of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.