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: