Page 105 - Probability Demystified
P. 105

6
                                                                CHAPTER













                     The Counting Rules


















                     Introduction


                                 Since probability problems require knowing the total number of ways one or
                                 more events can occur, it is necessary to have a way to compute the number
                                 of outcomes in the sample spaces for a probability experiment. This is
                                 especially true when the number of outcomes is large. For example, when
                                 finding the probability of a specific poker hand, it is necessary to know the
                                 number of different possible ways five cards can be dealt from a 52-card deck.
                                 (This computation will be shown later in this chapter.)
                                   In order to do the computation, we use the fundamental counting rule, the
                                 permutation rules, and the combination rule. The rules then can be used to
                                 compute the probability for events such as winning lotteries, getting a specific
                                 hand in poker, etc.





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