Talking about Laplace’s rule is also doing it, in turn, about probabilities. It is totally linked… why? Because in order to do exercises and decipher probabilities, formulas have to be made. And these formulas and/or calculations are made with the so-called Laplace rule.
Laplace is named after the French physicist and mathematician.
Now, we know how these exercises can be solved, which is with Laplace’s rule, but we also have to know what the probabilities are. A probability or probabilities are options or numbers in which events can occur. The number of times, the number of options… being these even, infinite.
Among the options of events can clearly be two s. Those of chance and/or natural ones. On the one hand, natural events are the ones that are going to give us, as results, a more or less suspected probability. What we can intuit or calculate. On the contrary, the event of chance, are those that we cannot know what type of results in the probabilities they can give us. That is why it is said of chance, as it happens in games, raffles, lotteries, etc.
In order to find both one event and the other, you will always have to make the relevant calculations, dividing and taking the probabilities of each option.
Instructions
- To explain what a probability is, it must be said that they are all the options or calculations of the branch of mathematics (remember that they are still calculations) and they are, as the word says, possibilities. There are options such as that it may be fulfilled or also, that it may not happen or occur. Hence, they are possibilities…
- You will quickly understand it better, if we give you simple examples. When you play the lottery There, possibilities are already being given. Because it is possible that it touches you, but also, that it does not touch. There are many options between the numbers that can come out winners. As there are probabilities, it is a clear example, where probabilities of winning or not could be obtained with Laplace’s rule.
- Let’s continue with clear examples from everyday life. Almost always, for the probabilities and examples, the same exercise is put and commented.
- The dice. If you roll a dice and want to know what is the probability of getting such a number (to give an example), how would you have to calculate it? As follows. It will have to be taken into account, how many faces a dice has. Then, you will also have to calculate the chances of getting one number or another. The sample space of this exercise would be the options that each number appears on the face of a dice. To all this, each calculation has its own name. What does it mean?
- That you will have to familiarize yourself with the word “sample space”. What is this or what is it for? The sample space is the results of those things or events occurring.
- What are events and what are they for? The event is linked to the sample spaces. They are the options that are made during the exercise with the possibilities. Here we would also enter with several options. We tell you.
- When it is a sure event, it refers to a possibility that will or could occur for sure. We give an example of the above that we were telling you. If it were the case of throwing the dice, a certain event would be, for example, that the three came up. Why? Because the three is on the dice. So you can get out safely.
- Later we can find ourselves between the options and probabilities, with an event that is impossible. What does it mean? As the word already indicates, with an impossible. It is a result that will not occur under any circumstances or option. For example, let’s see it more clearly. An example of an impossible event with a die roll would be rolling a number less than one. Obviously, it is an impossible event because the least valuable number on a die is one.
- Another variant that can occur, the union event. what is it and what does it mean? When to a figure or number or possibility, others can be added. Let’s see it with another example to make it more clear. We will continue with the same example, therefore, in the roll of a dice, a union event would be linked, to give an example, if a four or a five came out. They are probable options within the many possibilities that there may be.
- The intersection event would occur in the case that the possibilities of several numbers have to be taken into account. How is this? We make it clearer with an example. We continue with the same method of the example, a dice. In the rolls, we could say that an intersection event is; get an odd number. Or another example, I want the number five to appear…
- And to conclude between the events, the opposite event. We could define what an event is like that is contrary to that which cannot be verified or does not turn out as we want.
- Now we will talk a little more technical. But it must be so to be able to explain how the mathematical operations to get the probabilities really are.
- Laplace’s rule is indicated to be able to extract the determinants. The same thing that happens with the Sarrus rule, which is achieved thanks to this rule, finding the determinant of three. The same goes for Laplace’s rule, which can be solved for matrices of three. The theorems are solved until finding the smallest number and reducing it as much as possible.
- Summarizing what Laplace’s law or rule can do. This formula allows us to be able to calculate the probabilities of anything. Of course, the only key to it is that it has to be a real probability. That is, something that can happen (although the probability of it happening is minimal, but it can happen).
- In order to get the formulas and get to the crux of the matter, you always have to do the calculations or formulas, as follows. You have to write down the events that are going to be favorable (read what it means, we already discussed it in the article), write down and also write down the events that are going to be possible. The calculations between both possibilities will give you the result of how likely it is to happen or not.
- The probabilities depending on the events can vary as follows. They will always be either natural events or chance events. What does it mean? That the events that are random are the results that for more than obvious reasons, we cannot know what results they In other words, they are all options… what number can come up on a dice?, and playing cards?, etc.
What do you need:
- A calculator.
- A pen.
- A pencil.
- Eraser.
- Sheets, sheets, notebooks or notepads.
- Patience to solve the exercises. Not all of us have the same capabilities. Therefore, patience.
- Exercise. Whether in booklets or online. You can watch videos on the internet, where they will help you solve them and explain how to do them.
Tips
In order to be able to quickly do the exercises of a concrete fact and get the probabilities, the following must be done, among other calculations.
You have to divide the possibilities that will be the options and the results that can occur. Summarizing: possibilities are divided and in the other part of the division, the number of options that can be given is put. The result of this division will be the possibilities that can be given for that fact.
Laplace’s rule is, therefore, very necessary and essential to be able to extract the possibilities or probabilities of any option. Not only in simple things, but also in topics such as statistics, games of chance, repetitive options, bets, quotas, various results… and so on, a long etcetera.
Natural events, on the other hand, are events to which we ourselves can know or at least intuit what kind of results they can give. Random events will always be results that are not known to come out. The ones you don’t know what results you can get, like the lottery and gambling. On the other hand, natural events are the possibilities that we can suspect what results they can give us. Results that we at least suspect.