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Old 03-05-2004, 09:30 AM   #70
Michael Babin
Mac Development
 
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Join Date: Jul 2002

Location: Rowlett, Texas
Posts: 199
Given 7 slots for fish, with 26 fish to choose from, where each slot will be filled with one fish and there is an equal chance that any of the 26 fish will be selected to fill a slot, the probability of having all 7 slots filled with the same fish is 1/26^6 (26 to the sixth power, or 308,915,776). You can derive this answer by dividing the number of positive outcomes (where all fish are the same, in this case 26) by the total number of possible outcomes (26^7). Divide the numerator and denominator by 26, which simplifies the answer to 1/26^6.

The probability that all 7 slots will be filled with the same fish of a specific type (e.g., 7 Lionfish) is 1/26^7.
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