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Probability Distribution

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             The word  " Probability " often comes into our day-to-day life referring to, " What is the probability of some random event ? " simply saying what at most chance the event to occur.            In the last two blogs " The Axioms - Probability " and " What is the probability you will open this blog ? " we see how probability arises over time.         But the question is if the event space contains more than some finite or infinite elements, How will we calculate the probability?       Here the role of Probability Distribution came into the story. So instead of calculating, we evaluate how the probability is distributed over the region.       First, take the simplest example, " Tossing a coin ", so by the axioms of probability we have here two event spaces called head and tail. The probability of getting the head is 1/2 and the same for the tail.  ...

The Axioms - Probability

                The word  " Probability " often comes into our day-to-day life referring to, " What is the probability of some random event ? " simply saying what at most chance the event to occur.                 In my last blog " What is the probability you will open this blog ? " I told you, why for a long time,  I have been in a dilemma, about why probability is so useful , my counter-argument was, "Probability tells us about the most probable event to happen based on the available ones, it does not give us the guarantee that the event to be happened for sure, then why it's so overrated ?" and I give you a classical definition of probability.             Although the classical definition easily gives us the probability, it has some ambiguity . 😢😢            1)  It is applicable when the total number of events are finite. ...

What is the probability you will open this blog ?

                        The word  " Probability " often comes into our day-to-day life referring to, " What is the probability of some random event ? " simply saying what at most chance the event to occur.             For a long time, I have been in a dilemma about why probability is so useful , my counter-argument was, "Probability tells us about the most probable event to happen based on the available ones, it does not give us the guarantee that the event to be happened for sure, then why it's so overrated ?"                      I remember one day I was standing at the junction of three roads, from one way a car was coming, so the question is what can happen next? I assume the driver does not have the same question as mine so she would not stop the car and think, it's a three-junction road what does the boy do next? 😀😀 So sh...