The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.
We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.
The combination is the number of ways of selecting things.
Probability is to quantify the possibilities.
Number of ways in which a reference book can be picked = ²C₁
Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17
Now, the total number of books left on the bookshelf is 16
The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16
Total probability =multiplication of both the possibilities
Total probability =(2/17)×(5/16) = 5/136
Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136
To get more about probability refer to the link,
https://brainly.com/question/25870256
