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# Probability Learning

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### Probability Learning

1. 1. Kelompok 2 : 1. Ahmad Tuflikhun N. (03) 2. Herdianto Mandiri P. (16) 3. Rachmanta Isa A. (22) 4. Wahyu Dwi P. (26)
2. 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. 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. 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. 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. 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. 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. 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 