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) 3/5
b) 58/165
c) 25/33
d) 2/5

Option: C is the correct answer.

                            C) 25/33

Let A denote the event that the novel is written by a author who writes non-fiction .

and B denote the event that the book is written by a man.

A∩B denotes the man author who writes non-fiction.

Let P denotes the probability of an event.

Hence, from the given information we have:

40% of the authors write only nonfiction works.

This means that out of 165 authors 40% (which is 0.4) writes non-fiction.

i.e. 0.4×165=66 authors

          i.e. A=66

Also, Number of novels written by man=99

( Since, 60% of the authors are men.

i.e. B=0.6×165=99 )

Hence, B=99

Also,  40 of the male authors write only nonfiction works.

i.e.   A∩B=40

Hence,

P(A)=66/165

P(B)=99/165

P(A∩B)=40/165

Hence, we know that:

where P(A∪B) 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.

Hence,

Hence, the probability is:

                        C)  25/33

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at it