# Probablity Theory — Counting — I

Generally when a survey is made, it is done for a small samle instead of full population. Recent relevant example is Covid-19 vaccine. It needs to be given for a entire population but cant test the safety of the vaccine against entire population.

Generally when a survey is made, it is done for a small samle instead of full population. Recent relevant example is Covid-19 vaccine. It needs to be given for a entire population but cant test the safety of the vaccine against entire population. Hence a small sample of population is selected and efficiency is tested.

Now we need to count what probability of this sample experiment is going to be effective for entire population . Hence counting is very much needed , now how do we calculated counting.

Say if u have a dice of 6 sides and want to know on what chance does the dice output has. It can be either 1 || 2 || 3 || 4 || 5 || 6.

The counting was easy rite

What if u need to pick 4 cards from a deck of 52 cards and how many chances the 4 cards will be Ace . Its impossible to calculate all possible combinations mentally. we need some calculating methodology or principles to do it.

We can understand counting by starting simple. what is the number between 1 and 100. It is easy to calculate total is 100. If you need a rule for it.

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