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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