SOLUTION: Paige turner loves finite mathematics. She has 5 books about probability and four books about matrices. She lends her friend Anita Tudor four of these books, selected completely ra

Question 1182308: Paige turner loves finite mathematics. She has 5 books about probability and four books about matrices. She lends her friend Anita Tudor four of these books, selected completely random.
What is the probability Paige lends Anita two books on each topic (I.e. two matrix books and two probability books)?
What is the probability she lends her at least one book on each topic?
Enter your answers as fractions in lowest terms.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
for 2 each it would be 5C2*4C2/9C4, the 9C4 is choosing 4 books from 9. It is also the "sum" of the two top terms.
=10*6/126 or 60/126=10/21
-
for at least 1 on each topic. Look at the possibility of none for each topic. That is 4C0*5C4/9C4=5/126
and 5C0*4C!/9C4=4/126. We want everything but these two possibilities, which is 117/126=13/14.
RELATED QUESTIONS
Paige Turner loves finite mathematics. She has 5 books about probability and 4 books... (answered by Edwin McCravy)

Paige Turner loves finite mathematics. She has 4 books about probability and 3 books... (answered by math_helper)

Page Turner loves discrete mathematics. She has 7 "graph theory" books, 8 books about... (answered by sudhanshu_kmr)

Mia has four math books, three novels and two books of poetry. She wants to arrange them (answered by sudhanshu_kmr)

On a shelf there are four Mathematics books and eight English books. How many ways can... (answered by Edwin McCravy)

Omar has 25 books. Nan has 3 times as many books as omar. nan stores her books in boxes... (answered by macston)

Shelly's book collection has B books. Every week she reads, and gets rid of 15 books.... (answered by stanbon)

An English teacher needs to pick 10 books to put on her reading list for the next school (answered by Edwin McCravy)

Find the probability of randomly selecting 2 mathematics books and 3 physics books from a (answered by stanbon)