A bookshelf contains 9 mysteries and 7 biographies books. A book is randomly selected and not replaced.
What is the probability that the first book is mystery and the second is the biography?

Respuesta :

Answer:

The answer is 7/30

Step-by-step explanation:

According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem

Rule of permutation: nPr = n! /(n-r)!

where: n:objects and r:sample

n of mysteries=9  ;   r of mysteries=1  ;  ⇒ 9P1

n of biographies=7  ;  r of biographies=1  ;  ⇒ 7P1

n of total books=9+7=15  ;  r of total books=2  ;  ⇒15P2

Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30

Hope this helps :)

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE