Probability is the magnitude or probability of an event. It can also be defined as a kind of ratio, concentrating on the chances of a given outcome compared to all other possible outcomes. The ability to get, for example, a four if we throw a dice? Now, if we keep the proportions aspect in mind; Opportunity = P = Desired number of outcomes/All possible outcomes Here we know that a dice has 6 sides, so the possibility of getting a 4 is 1/6. we discuss all possible methods to deal with the results of an event. If we talk about finding the probability of an event, we need to know how to deal with dependent and independent events. Independent events: The two events are considered independent when the possible outcome of the first event does not affect the outcome of the second event. To calculate the final result of two independent events, we multiply the probability of the first by that of the second event. For example, if you need to find the possibility of getting 6 by throwing two dice: Chance with two dice = 1/6 * 1/6 = 1/36 Dependent Events: We say that two events are dependent, if the outcome of one event affects the outcome of another one. For example, the chance to get 2 black cards from a pack of cards: A deck consists of 52 cards, 26 red and 26 black cards, we will find it as; P (black) = 26/52 = 1/2, now the probability of a 2nd black card is as follows: P (2nd black) = 25/51 (because there is already a card from the pile was drawn) Now multiply both, P = 1/2 * 25/51 = 25/102 Methods to find probability: There are many ways to calculate the possible outcome, some of these methods are listed below; The classic: The method we discussed at the beginning is the classic way to calculate the probability. Here all possible results are known and there are exactly the same opportunities to get each result. For example, we mentioned the example of getting a four out of six possibilities when throwing a die. It is just as likely to get a four as one or another number from 1 to 6. The relative frequency: This technique is used in that case when we do not have the advanced information of all other results or outcomes. In addition, in cases where the probability of occurrence is different. It implies similar statistics from a previous but similar instance. An example of how the relative frequency technique would be applied; is shop owner and places orders based on the data of last year's deals or sales. The subjective method: This method is necessary in those cases where we do not have the advanced knowledge of all probable outcomes, but all outcomes are probably not equal. Along with these situations, when we do not even have previous statistical data. This technique is entirely based on opinions, previous exposures or experiences, therefore we call it the subjective method. After you finish the predictions, you can always get better by refining the data and trying again. Online tools: Last but not least, try digital technology. There are a lot of online websites available, where you can find these gadgets. The best of these smart tools is the precision. If you want to get more accurate information, without wasting time on calculation, try tools such as online probability calculator - Yes. The significant figures are sometimes very difficult to calculate and observe, so a online Sig Fig Calculator would be very useful in this regard. In the end, I hope that this article will help you understand the core concepts of finding the probability. Good luck! #math #calculus #algebra #probability #significant _figures #education

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