Podcast on Probability
Description
Vocal Characteristics
Language
EnglishVoice Age
Young Adult (18-35)Accents
British (General)Transcript
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a big hello to everyone listening to me right now. I hope you're doing well. My name is Aditya Sehgal. I'm from 10th B and today we're going to discuss a very interesting topic known as probability. The chapter number 15 from our mathematics book. Now going to the definition of probability like that is the very first thing that we need After listening to a term that war does, that term really means now it is the branch of mathematics that may just the uncertainty of the occurrence of an event. Using the numbers is called probability. The chance that an event will or will not occur is expressed on a scale ranging from 0 to 1. So that's how probability is major. And this is the thing that our book says. But do we really use probability in a real life? Yeah, we do. We use for ability in a real life, knowingly or unknowingly. Now there are many examples, such as knowing the weather report, which is a very usual thing After that, the sports, the blood sample also predicting the congenital disabilities statics and many more. Now, this is all about the introduction of probability that how we are using the probability in our daily life what the probability really means. But there are many other important terms related to probability that we should know, So I will go through them one by one. Listen to me carefully. The very first one is the event an outcome. An outcome is a result of a random experiment. For example, when we roll a die is getting six is an outcome. An event is a set of outcomes. For example, when we roll the dice, the probability of getting a number less than five is an event again. Another term is experimental. Probability. Experimental probability can be applied to any event associated with an experiment that is repeated a large number of times. So again here, we need to know another term for understanding the experimental probability that is the trial. A trial is when the experiment is performed. Once it is also known as empirical probability, empirical or you can see it as experimental. It is different. It is defined by P e, which is equal to the number of trials where the event occurred upon the total number of trials that we have done to know the event. Now the theoretical probability is another term. It is again denoted by P. E, but it is equal to the number of outcomes favourable to e upon the number of all possible outcomes of the experiment. Another town is elementary event and event. Having only one outcome of the experiment is called an elementary event, like tossing a coin where we only get head or tail set once, or like a true or false question that whether the sun will rise in the east or not again, these are the examples of elementary event. Now there is another time known as the sum of the probabilities. So the some of the probabilities of all the elementary events that we have did should be one, because that's what the probability is, adding all them should be one only now impossible event and even that has no chance of watering is called an impossible event, such as that probability of getting a seven on a roll on a roll of a die, which is zero like we cannot never get seven because the dye is having number till six only and seven getting is an impossible event. Also knowing telling that sun will rise from the West is another impossible event, and another term opposed to this is the sure event. An event that has 100% probability of occurrence is called a sure event. The probability of occurrence of assure event is one like you already discussed, such as The sun will rise in the East. Yes, so the probability is one and another can be. We will get a number lesser than seven while rolling a die. Yes, the probability is one again. It's a sure event now, coming to the range of probability of an event. The range of probability of an event lies between zero and one inclusive of zero, and one means we have to include include the zero and one, which is that it will be greater than or equal to zero or lesser than or equal to the one now coming to geometrical probability. Now this is a new term, so the geometric probability is the calculation of the likelihood that one will hit a particular area of a figure. It is dependent upon the area of the figure, and it is calculated by dividing the desired area by the total area now here we divide the desired area that we wanted, and it is divided by the total area of that particular figure. Let it be anything. In this case of geometrical probability, there are in fine night outcomes. Yes, there can be many outcomes, as you can take any number or any desired area we want now. Last but not the least, is the complementary events. The complementary events are the two outcomes of an event that are only two possible outcomes. Now, we first discussed about elementary, which is having only one. And this is the complementary which is having two possible outcomes. And this is like flipping a coin and getting heads or tell where e and e dash are the complementary events, such as getting heard tales. These are again two complementary events. So that's all about the probability that what is probability? What are the uses of probability in a real life and most importantly, all the terms related to probability? I hope you enjoyed listening to me. Thank you, all of you, for giving your precious time. Thank you. Bye.