## What does conditional probability tell you?

Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening.

**How is conditional probability used in real life?**

In everyday situations, conditional probability is a probability where additional information is known. Finding the probability of a team scoring better in the next match as they have a former olympian for a coach is a conditional probability compared to the probability when a random player is hired as a coach.

### What is reliability in probability?

Reliability is defined as the probability that an item will perform a required function without failure for a stated period of time. Another way to state is that It’s a measure of how long it takes for a network (or a system) to fail.

**Why conditional probability is useful?**

The probability of the evidence conditioned on the result can sometimes be determined from first principles, and is often much easier to estimate. There are often only a handful of possible classes or results. For a given classification, one tries to measure the probability of getting different evidence or patterns.

## What is the difference between probability and conditional probability?

Answer. P(A ∩ B) and P(A|B) are very closely related. Their only difference is that the conditional probability assumes that we already know something — that B is true. For P(A|B), however, we will receive a probability between 0, if A cannot happen when B is true, and P(B), if A is always true when B is true.

**What is conditional probability real life examples?**

Let’s take a real-life example. Probability of selling a TV on a given normal day maybe only 30%. But if we consider that given day is Diwali, then there are much more chances of selling a TV. The conditional Probability of selling a TV on a day given that Day is Diwali might be 70%.

### How do you show conditional probability?

The conditional probability of an event B is the probability that the event will occur given the knowledge that an event A has already occurred. This probability is written P(B|A), notation for the probability of B given A.

**What is the formula for conditional probability?**

The formula for conditional probability is derived from the probability multiplication rule, P(A and B) = P(A)*P(B|A). You may also see this rule as P(A∪B). The Union symbol (∪) means “and”, as in event A happening and event B happening.