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Unformatted text preview: 9.3 PROBABILITY Theoretical probability applies to situations in which the set of all equally-likely outcomes is known. The set of all possible outcomes for an experiment is called the sample space . For any sample space S, P(S) = 1 and P( ∅ ) = 0. Any subset of the sample space is called an event . The theoretical probability of event E, denoted by P(E) is number of possible ways E can occur n E P E total number of possible outcomes n S ( ) ( ) ( ) = = . In general, the sum of all the probabilities of all possible outcomes in any situation is 1. For any event E, 0 ≤ P(e) ≤ 1. 1. A die is rolled once. Define the sample space and find the probability of rolling a number greater than 4. 2. You are dealt one card from a standard 52-card deck. Find the probability of being dealt: a. A five b. A 9 of spades c. A red 8 d. A diamond. 3. From a group of five students (A, B, C, D, E) competing to attend a concert, three are selected. a. Show the sample space, given that order of selection is not relevant.Show the sample space, given that order of selection is not relevant....
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This note was uploaded on 01/04/2012 for the course MGF 1106 taught by Professor Nicoli-succo during the Fall '08 term at FIU.
- Fall '08