There are 36 books on a bookcase.there are 9 nonfiction,12 fiction,and 15 science fiction. What is the probability of choosing a nonfiction book of choosing a fiction book of choosing a science fiction book?
nonfiction -- 9/36 = 1/4
fiction - ?
science fiction?
I'll be glad to check your answers.
To find the probability of choosing a nonfiction book, a fiction book, and a science fiction book from the bookcase, we need to divide the number of favorable outcomes by the total number of possible outcomes.
1) Probability of choosing a nonfiction book:
There are 9 nonfiction books out of the total of 36 books. So, the probability of choosing a nonfiction book is given by:
P(nonfiction) = Number of nonfiction books / Total number of books = 9/36 = 1/4.
2) Probability of choosing a fiction book:
There are 12 fiction books out of the total of 36 books. So, the probability of choosing a fiction book is given by:
P(fiction) = Number of fiction books / Total number of books = 12/36 = 1/3.
3) Probability of choosing a science fiction book:
There are 15 science fiction books out of the total of 36 books. So, the probability of choosing a science fiction book is given by:
P(science fiction) = Number of science fiction books / Total number of books = 15/36 = 5/12.
Now, to find the probability of choosing all three types of books in sequence, we multiply the individual probabilities together:
P(nonfiction) * P(fiction) * P(science fiction) = (1/4) * (1/3) * (5/12)
= 5/144.
Therefore, the probability of choosing a nonfiction book, then a fiction book, and then a science fiction book from the bookcase is 5/144.