Probability

Probability

1. Basic Concepts

   • Outcomes
     • The possible results of the experiment
   • Sample space
     • Set of all the possible outcomes
   • Event
     • Some particular collection of the possible outcomes
   • Experiments
     • All tests, random phenomenon

2. Probability Formulas

   • Empirical
   • Theorical

3. Events involvig"not" and "or"

   • Properties
     • Certain event
       • The probability of certain event is 1. The probability of an event is a number 0 through 1, inclusive.
       • P(S)=1
     • Probability value
       • The probability of an event is a number 0 through 1, inclusive.
       • 0≤ P(E) ≤1
     • Impossible event
       • The probability of an impossible event  is 0.
       • P (0) = 0
   • Addition rule of probability
     • Any event
     • P (A U B)= P (A) + P (B) - P (A ∩ B)
     • Mutually exclusive events
       • P (A U B)= P(A) + P (B)
   • Probability of the complement
     • P (No E) = 1 - P (E) or P(E') = 1 - P(E)

4. Set Operations

   • Intersection
   • Union
   • Complement
   • Difference

5. Events involving "and"

   • Conditional probability formula
     • The probability of event B, computed on the assumption that event A has happened.
   • Multiplication rule of probability
     • For independt events
       • P (A and B) = P(A) * P(B)
     • For any two events
       • P(A and B)= P(A)* P(B|A)

6. Alumna: Lesly Lizbeth San Juan González A01400471

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