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Probability Learning

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    Probability Learning Probability Learning Presentation Transcript

    • PROBABILITY
      Kelompok 2 :
      Ahmad Tuflikhun N. (03)
      HerdiantoMandiri P. (16)
      Rachmanta Isa A. (22)
      WahyuDwi P. (26)
    • B. Event and It’s Probability
      B. 1. Definition of Trial, Sample Space, and Event
      • Sample Space: A set of all the possible result from a trial.
      • Trial: A member of the sample space.
      • Event: Part of the sample space.
    • B. 2. Probability of an Event
      B. 2. a. Definition of Probability
      If E is an event with , then probability of event E which notated by is defined as:
      note:
      n(E) = number of elements in an event E
      n(S) = number of sample points in the sample space of S or number of member of S
    • B. 2. b. Expectation of an Event’s Frequency
      An expected frequency of an events is a result of the multiplication between number of trials and the probability of the possible event will be happened in a trial.
      Mathematically:
    • C. Multiple Events
      C. 1. Probability of The Complementary of an Event
      In the following figure, an event of E is defined in a sample space of S, so that the event outside E is called COMPLEMENT of an event E and notated by P.
      S
      E
      P
    • C. 2. Probability of Mutually Events
      If A and B are mutually exclusive,
      If A and B are not mutually exclusive,
      A
      A
      B
      B
      Two events are not mutually exclusive
      Two events are mutually exclusive
    • C. 3. Probability of Mutually Independent Events
      The first event does not affect to the probability of the second one.
      Example :
      -Probability in drawing a dice
      -Probability in drawing coin
      The probability of the event A and B that written as for A and B mutually independent is formulated by:
    • C. 4. Probability of the Conditional Event
      The first event will affect the probability of the second event.
      Example :
      -Probability in drawing a red ball from the bag which contain 5 yellow baall & 5 red ball.
      The probability of the event that A and B happened, which written as , in the case that A and B are two conditional evenrs, is formulated as: