You can find out what is meant by probability here. There’s a definition for it to start with, and then we’ll look at probability formulas and examples. This topic belongs to the field of mathematics.

You are watching : What is the probability

Written by: Dennis Rudolph
Wednesday, March 07, 2018 at 21: 01 o’clock

You can learn what the probability is and how to calculate it here. Let’s look at this:

  • An explanation of what is meant by probability.
  • Examples and formula to calculate them.
  • Tasks / exercises so that you can practice this yourself.
  • A video on the basics of probability.
  • A question and answer section on this topic.

Tip: We’ll look at the basics of probability in a moment. It helps if you know what a random experiment is. If you don’t know, you can have a look here: Random experiment / random test.

Explanation and definition of probability

Mathematics is mostly about calculating things very precisely:

  • 2 + 3 = 5
  • 8 – 2 = 6

But there are also things in life that cannot be calculated in this way. For example, if you roll a die, you don’t know for sure what the outcome will be (unless you cheat). If the outcome of an experiment – such as rolling a dice – is unclear, then you have arrived at an area of ​​mathematics known as probability calculation or stochastics.

Definition of probability:

Note:

Probability calculations (with the sub-area stochastics) are about specifying whether something is more likely to happen or not. The probability is an indication between 0 and 1 (or between 0% and 100%). At 0, it is impossible for anything to happen. At 1 it is quite certain that something will happen. The closer the number is to 1, the more likely something will happen. Or vice versa: the closer to 0, the less likely.

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Typical random attempts:

Typical attempts to examine the probability are for example:

  • Flip a coin.
  • Throwing a die.
  • Spin a wheel of fortune.
  • Drawing a card (shuffled deck)

Experiments or attempts to “try out” the probabilities are called random tests or random experiments. We’ll look at some examples in the next section.

Examples and formula Probability

This is an article on the basics of probability. So let’s just look at a very simple example. More sophisticated tests from this area are discussed in further articles.

Example 1: Toss a coin

We toss a coin. Either a number or a coat of arms can fall:

The probability of rolling a number is the same as the probability of rolling a crest. There are two possibilities for the outcome of the throw. One of these two possibilities occurs. The possible results are summarized in a result set. In this case it looks like this:

If all outcomes of the experiment have the same probability – which is the case here, as I said – then it is called a Laplace experiment.

Formula Laplace:

Where is:

  • “P(E)” the probability of event E
  • “E” the number of favorable outcomes
  • “n” the number of possible results

In the case of the coin, we have 2 possible outcomes (tails and crests), so the denominator is 2. 1 each stands for tails or crests. This can also be represented with a tree diagram. On this number and coat of arms are abbreviated with Z and W. The probability is 1/2.

Note:

If all possible outcomes of the experiment are equally likely, this is called a Laplace experiment. You can find more about this – for example with a cube experiment – under Laplace experiment / Laplace experiment.

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Tasks / Exercises Probability

Task 1: If the probability of something is 0, what does it say?

  • Sure to happen.
  • Probably not.
  • Probably occurs.
  • Cannot enter.

Skip task »

You have successfully solved 0 of 4 tasks.

Video probability

Examples and explanation

We’ll cover the basics of probability in the next video. You can see…

  • … which is a Laplace experiment.
  • … which is a definition of a Laplace experiment.
  • … how to add tasks / examples.

Next video »

Questions with Probability Answers


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