Probability (5)

At least one tail was thrown had all diamonds

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Unformatted text preview: ds dealt, none out of 36 tries. at least one tail was thrown had all diamonds … Subjective (Judgement) Probability – probability based on personal judgement Range of Probabilities Rule 0 ! P(E) ! 1 EC Complement of an Event – the set of all outcomes in a sample space not in the event. Notation: The complement of an event E is denoted E C or E'. Note: P(E) + P( E C ) = 1 P(E) = 1 – P( E C ) E P( E C ) = 1 – P(E) Mutually Exclusive (Disjoint) Events – events that have no common outcomes throwing a 5 on a die OR throwing an even number flipping two coins and having at least one head OR no heads drawing an 2 from a deck OR drawing a face card Addition Rule – P(E or F) = P(E) + P(F) if E and F are mutually exclusive events. P(throwing a 5 OR throwing an even number) = P(throwing a 5) + P(throwing an even number) 1342 =+== 6663 P(throwing a 5 OR throwing an odd number) = P(throwing a 5) + P(throwing an odd number) – P(throwing a five AND an odd number) 13131 =+!== 66662 P(drawing a face card OR drawing a diamond) = P(drawing a face card) + P(drawing a diamond) – P(drawing a fa...
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