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At a conference promoting excellence in education for African Americans in Detro

ID: 3312388 • Letter: A

Question

At a conference promoting excellence in education for African Americans in Detroit, special-edition books were selected to be given away in contests. There were 9 books written by Author A, 5 books by Author B, and 8 books by Author C. The judge of one contest selected 7 books at random for prizes. Find the probabilities that the selected consisted of the following. Complete parts (a) through (f) below.
a. 2 Author A books and 5 Author C books.

there are parts a-f but i can not get to those parts until i complete part a correctly!

Explanation / Answer

Solution :

Given ,

number of books written by auther A = 9

number of books written by auther B = 5

number of books written by auther C = 8

total number of books = 22

( a )

Probability of selecting  2 Author A books and 5 Author C books. = 9c2 * 8c5 / 22c7

= 36 * 56 / 170544

= 0.0118

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