The U.S. Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Out of curiosity, you look at the authors of the textbooks for your current courses. There are 11 authors in total. What is the probability that none of the 11 names of these authors were among the 10 most common? (Assume that authors' names are independent and follow the same probability distribution as the names of all residents.) Give your answer to three decimal places.

The U.S. Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Out of curiosity, you look at the authors of the textbooks for your current courses. There are 11 authors in total.

What is the probability that none of the 11 names of these authors were among the 10 most common? (Assume that authors' names are independent and follow the same probability distribution as the names of all residents.) Give your answer to three decimal places.