Probability

Description

Mind Map on Probability, created by Lesly San Juan on 24/08/2014.
Lesly San Juan
Mind Map by Lesly San Juan, updated more than 1 year ago
Lesly San Juan
Created by Lesly San Juan over 11 years ago
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Resource summary

Probability
  1. Basic Concepts
    1. Outcomes
      1. The possible results of the experiment
      2. Sample space
        1. Set of all the possible outcomes
        2. Event
          1. Some particular collection of the possible outcomes
          2. Experiments
            1. All tests, random phenomenon
          3. Probability Formulas
            1. Empirical
              1. Theorical
              2. Events involvig"not" and "or"
                1. Properties
                  1. Certain event

                    Annotations:

                    • The probability of certain event is 1. The probability of an event is a number 0 through 1, inclusive.
                    1. P(S)=1
                    2. Probability value

                      Annotations:

                      • The probability of an event is a number 0 through 1, inclusive.
                      1. 0≤ P(E) ≤1
                      2. Impossible event

                        Annotations:

                        • The probability of an impossible event  is 0.
                        1. P (0) = 0
                      3. Addition rule of probability

                        Annotations:

                        • Any event
                        1. P (A U B)= P (A) + P (B) - P (A ∩ B)
                          1. Mutually exclusive events
                            1. P (A U B)= P(A) + P (B)
                          2. Probability of the complement
                            1. P (No E) = 1 - P (E) or P(E') = 1 - P(E)
                          3. Set Operations
                            1. Intersection
                              1. Union
                                1. Complement
                                  1. Difference
                                  2. Events involving "and"
                                    1. Conditional probability formula

                                      Annotations:

                                      • The probability of event B, computed on the assumption that event A has happened.
                                      1. Multiplication rule of probability
                                        1. For independt events
                                          1. P (A and B) = P(A) * P(B)
                                          2. For any two events
                                            1. P(A and B)= P(A)* P(B|A)
                                        2. Alumna: Lesly Lizbeth San Juan González A01400471
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