MATH SOLVE

2 months ago

Q:
# Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfiction works. Also, 40 of the male authors write only nonfiction works. Assuming that your library has only one book by each author, what is the probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man?A. 3/5B. 58/165C. 25/33D. 2/5

Accepted Solution

A:

Answer: C. 25/33

Explanation: if 60% of the authors are male thanks means 99 are male and the remaining 66 are women. 40% of the authors (male and female) write nonfiction only which is 66. 40 of this are males so the remaining 26 are females. Work written by an author who writes only nonfiction is 66 and work written by man is 99. However male authors who write only nonfiction are already counted in the 99 male authors so to find the probability you gotta add the number of female authors that write nonfiction to the number of male authors which is 99+ 26= 125. Then you put that over the total amount of authors which is 125/165 and simplify which is β> 25/33

Explanation: if 60% of the authors are male thanks means 99 are male and the remaining 66 are women. 40% of the authors (male and female) write nonfiction only which is 66. 40 of this are males so the remaining 26 are females. Work written by an author who writes only nonfiction is 66 and work written by man is 99. However male authors who write only nonfiction are already counted in the 99 male authors so to find the probability you gotta add the number of female authors that write nonfiction to the number of male authors which is 99+ 26= 125. Then you put that over the total amount of authors which is 125/165 and simplify which is β> 25/33