- What is Probability
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- Why we need Probability and what is the use of it
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- few terms related to Probability
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- Zeros or roots of the probability
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- Empirical Probability
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- Some Important points about Probability
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- Solved Examples

It is widely used in the study of Mathematics, Statistics, Gambling, Physical sciences, Biological sciences, Weather forecasting, Finance etc. to draw conclusions. Insurance companies uses this to decide on financial policies

e.g. when we coin is tossed,the possible outcome are Head and Tail.So sample space is Head and tail

2) It is a probability of event which is calculated based on experiments

3) Empirical probability depends on experiment and different will get different values based on the experiment

P (A) +P (B) +P(C) =1

2) The probability of an event (U) which is impossible to occur is 0. Such an event is called an impossible event

P (U)=0

3) The probability of an event (X) which is sure (or certain) to occur is 1. Such an event is called a sure event or a certain event

P(X) =1

4) Probability of any event can be as

0 ≤ P(E) ≤ 1

1) What is the empirical probability of getting head ?

2) What is the empirical probability of getting tail?

3) Does the sum of above two probability equals 1?

Solution: empirical probability of getting head=(No of trails which heads came)/(Total Number of trials)

empirical probability of getting head=499/1000

So empirical or experimental probability of getting head P(H) is calculated as

=.499

empirical probability of getting tail =(No of trails which tails came)/(Total Number of trials)

empirical probability of getting head=501/1000

So empirical or experimental probability of getting head P(T) is calculated as

=.501

Now P(H) +P(T)= .499+.501=1

As tail and head are the only possible outcome,the sum of probabilities is 1

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