Probability Tricks

Probability Tricks
Probability is very important chapter,Here we put down some formula and Facts that are based on this chapter after that we give some examples related on formula and chapter,which help you better understand about this chapter. In exams only Dice, Coin and ball related examples are given.



Some important facts:
When we throw a coin on the air ,The coin either a Head (H) or a Tail (T)appears.
When we throw a dice is a solid cube,having 6 faces, marked 1, 2, 3, 4, 5, 6 gradually.In that case when we throw a dice the outcome is the number that appears on its upper face of the dice.

Experiment :
The actions of that Appear some well-defined outcomees is called an Experiment.

Random Experiment :
An Random experiment is an experiment in which all probable outcomes are known and we cannot predicted the accurate in advances that is called Random Experiment.

Here is some example for your better perceive about Random experiment.
  • When we throw a coin on the air ,The coin either a Head (H) or a Tail (T)appears.
  • When we throw a dice is a solid cube,having 6 faces, marked 1, 2, 3, 4, 5, 6 gradually.In that case when we throw a dice the outcome is the number that appears on its upper face of the dice


    Sample Space :
    Sample Space is an set S of all possible outcomes in a particular actions.

    Examples of Sample Spaces:
    For Coin
    i) In tossing a coin on air, S = { H, T}. ii) If two coin tossed,then S = { HH, HT, TH, TT}.
    iv) For rolling a dice, S = { 1, 2, 3, 4, 5, 6 }.

    Event :
    Any subset of a sample set is called an Event.

    Probability of occurrence an Event :
    Probability of any Event P = n(E) / n(S).

    P(E) = Probability of Event.
    n(E) = Total number of required outcomes.
    n(S) = Total number of Possible outcomes.
    Result on probability :

    • P ( S ) = 1 ( 1 means maximum probability is always 1).
    • P (∅) = 0 ( Maximum probability is always 0).
    • 0 < p (E) < 1
    • For any event X and Y, we have : P( X ∪ Y) = P (X) + (Y) - P ( X ∩ Y).
    • P(E) = 1 - P ( E )....................................................Where E bar denote not E.




    Here is some Probability link which help you better understanding.





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