SOLUTION: Dan have 12 books on his shelf that he has not read yet.There are seven novel and five biographies.He wants to take 4 books with him on vacation.What is the probability that he ran

Algebra ->  Probability-and-statistics -> SOLUTION: Dan have 12 books on his shelf that he has not read yet.There are seven novel and five biographies.He wants to take 4 books with him on vacation.What is the probability that he ran      Log On


   

Question 392131: Dan have 12 books on his shelf that he has not read yet.There are seven novel and five biographies.He wants to take 4 books with him on vacation.What is the probability that he randomly select two novels and 2 biographies?
thank you so much
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

12 books, 7 of which are novels and 5 of which are biographies

Total ways of choosing 4 books from a group of 12 books =  12C4

P(2 novel 'and' 2 biographies) = 7C2*5C2/12C4 =  21*10 /495 = .4242

where nCx = n%21%2F%28x%21%28n-x%21%29%29