SOLUTION: Your sister has a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. She randomly picks 3 books to read during a long trip. What is the pr
Algebra ->
Permutations
-> SOLUTION: Your sister has a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. She randomly picks 3 books to read during a long trip. What is the pr
Log On
Question 1191639: Your sister has a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. She randomly picks 3 books to read during a long trip. What is the probability that she picks one from each category? Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
Your sister has a book collection that consists of 20 horror novels, 15 romance novels,
and 25 mystery novels. She randomly picks 3 books to read during a long trip.
What is the probability that she picks one from each category?
~~~~~~~~~~~~~~
She can select one horror book from 20 such books in 20 ways;
She can select one romance book from 15 such books in 15 ways;
She can select one mystery novel from 25 such books in 25 ways.
In all, she has 20*15*25 = 7500 such different selections satisfying the imposed condition.
To find the probability of making right selection, we should relate this number, 7500, to the total number of all possible triples
from 20+15+25 = 60 books. In all, there are = = 34220 such triples.
So the sough probability is P = = 0.2192 = 21.92% (rounded). ANSWER
