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# Probability Learning

## on Nov 23, 2010

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## Probability LearningPresentation Transcript

• PROBABILITY
Kelompok 2 :
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: