## What is a complement probability?

In probability theory, the complement of any event A is the event [not A], i.e.

the event that A does not occur.

The event A and its complement [not A] are mutually exclusive and exhaustive..

## Can a CDF be greater than 1?

The whole “probability can never be greater than 1” applies to the value of the CDF at any point. This means that the integral of the PDF over any interval must be less than or equal to 1. A: The PDF at x is greater than 1. … Remember that there is no area under a point, meaning there is no probability under a point.

## What numbers Cannot be probabilities?

A probability is always greater than or equal to 0 and less than or equal to 1. hence, only A and C above cannot represent probabilities. -0.00001 is less than 0 and 1.001 is greater than 1.

## Can you have a probability greater than 1?

The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

## Why do all probabilities add up to 1?

Probabilities have to sum up to one when you are dealing with mutually exclusive events that encompass all possible outcomes. Inot other words, something has to happen, and only 1 thing will. “1” is, by definition, a guaranteed event. … So, if one of your outcomes has to happen, they must add up to at least 100%.

## What is a 1 in 100 chance?

With something 1/100 chance of happening, it has a 99/100 chance of not happening. And so the chance of it not happening after trying it trice is 99/100 x 99/100 x 99/100. Or a 970,209/1,000,000 chance of it not happening, and a 29,791/1,000,000 chance of it not happening.