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In this video we are discussing sample spaces and probability of basic concept
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So, a probability experiment is a chance process that leads to well-defined results and
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also known as the outcomes. An outcome is the result of a single trial of a probability experiment
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So whenever we execute one probability experiment, we are going to get one outcome
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A sample space is a set up all possible outcomes of a probability experiment
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So in a probability experiment we might be having several outcomes. So set up all these outcomes will form one sample space
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Let us show you some examples. So to toys one coin if it is the respective experiment, then the outcome sample space will
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be head and tell. a die, 1, 2, 3, 4, 5, 6 is the outcome space, that is a sample space
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Answer a true or false question, here the sample space is true or false
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Toss 2 coins, here the sample space is head, head, head, tell, tell, and tell head
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So let us suppose another example. Find out the sample space for rolling two dies
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In that case, you can consider a die 1. It has got a sample space like this and if you consider dye 2, it has got a sample space
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like 1, 2, 3, 4, 5, 6. Now if you find the sample space of rolling 2 dies in that case, this is the respective
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sample space for rolling two dies. So here we are having this 1 2 1 3 1 4 1 5 1 6 1 that means considering these values and this and then we are having 1 4 5 6 In this way here we are having respectively 66 different values in the sample
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space. An event consists of a set of outcomes of a probability experiment. An event can
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be one outcome or more than one outcome. For example, if a die is rolled
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and a six shows, this result is called outcome, will be known as the outcome
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Hence, and since it is a result of a single trial, an event with the one outcome is known as
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the simple event. So, one event with the one outcome is known as a simple event
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The event of getting an odd number when a die is rolled is called a compound event
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since it consists of three possible outcomes or three simple events because to get the odd number
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after rolling a die after rolling a die to get a odd number here this is known as a compound
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event because it consists of three different outcomes so that is one three and five in general
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a compound event consists of two or more outcomes or simple events
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There are three basic interpretations of probability. So here three basic interpretations of probability we are going for one by one
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One is a classical probability. Next one is an empirical or relative frequency probability
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And last one is a subjective probability. So in the next three videos we are going to discuss all these probabilities with some examples
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Thanks for watching this video
