Probabilities

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Probabilities

 Understand the Deck of Cards.


  1. A deck of cards has total 52 cards.
  2. These 52 cards have categories.
  3. categories are Diamonds , Spades , Clubs , Hearts.
  4. Each Category further has 13 cards.
  5. In each category , among these 13 cards we have face cards and number cards ranging from to 10.
  6. 4 face cards are : Ace , King , Queen , Jack.
  7. In this way we have total 16 face cards in a deck of 52.

Probabilty and Types of operations on Probaility

  • Simply , Probabilty is just the way you can express numerically that how much is the chance of a specific event to occur or not under some specific circumstances.
  • Numerically , Probabilty(P) of an event(E) say : 'P(E)' lies in interval 0<=P(E)<=1.
  • There are two types of operations on Probabilty:
  1. Addition of Probabilities.
  2. Multiplication of Probabilities.(For Independent Events)

    • Addition of Probability has a general formula for two events A and B as :
    • P(AUB) = P(A) + P(B). (When A and B are totally Independent or Disjoint)
    • P(AUB) = P(A) + P(B) - P(A^B) (When A and B are Dependent or Over-Lapping)
    • Multiplication of Probability has a general formula for two independents events A and B as :
    • P(A^B) = P(A)xP(B)


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