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Kelompok 2 :
1. Ahmad Tuflikhun N. (03)
2. Herdianto Mandiri P. (16)
3. Rachmanta Isa A. (22)
4. Wahyu Dwi P. (26)
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
SE 
 EP
   
 Sn
En
EP 
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:
   EnxPEfh 
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.
E
S
SPE 
     SnPnEn 
    1 PPEP
   EPPP 1
C. 2. Probability of Mutually Events
If A and B are mutually exclusive,
If A and B are not mutually exclusive,
AA BB
Two events are mutually
exclusive
Two events are not mutually
exclusive
     BPAPBAP 
       BAPBPAPBAP 
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:
 BAP 
     BxPAPBAP 
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:
     ABxPAPBAP 
 BAP 

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Probability Learning

  • 1. Kelompok 2 : 1. Ahmad Tuflikhun N. (03) 2. Herdianto Mandiri P. (16) 3. Rachmanta Isa A. (22) 4. Wahyu Dwi P. (26)
  • 2. 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.
  • 3. 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 SE   EP      Sn En EP 
  • 4. 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:    EnxPEfh 
  • 5. 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. E S SPE       SnPnEn      1 PPEP    EPPP 1
  • 6. C. 2. Probability of Mutually Events If A and B are mutually exclusive, If A and B are not mutually exclusive, AA BB Two events are mutually exclusive Two events are not mutually exclusive      BPAPBAP         BAPBPAPBAP 
  • 7. 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:  BAP       BxPAPBAP 
  • 8. 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:      ABxPAPBAP   BAP 