SOLUTION: (1) A bag contains 2 natural oranges and 3 artificial oranges. Each of four persons, A, B, C, and D, in the order named, draws one orange and does not replace it. The first to draw

Algebra ->  Probability-and-statistics -> SOLUTION: (1) A bag contains 2 natural oranges and 3 artificial oranges. Each of four persons, A, B, C, and D, in the order named, draws one orange and does not replace it. The first to draw      Log On


   

Question 1027551: (1) A bag contains 2 natural oranges and 3 artificial oranges. Each of four persons, A, B, C, and D, in the order named, draws one orange and does not replace it. The first to draw a natural orange receives N20. What is the probability that A, B, and C lose and D wins
1/10
2/5
7/11
1/4
(2) 4 different Biology books, 6 different CIT books and 2 different Mathematics books are to be arranged on a shelf. How many different arrangements are possible if only the Biology books must stand together?
8709120
9260004
8000002
5650000
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1) P%28A%29=3%2F5
P%28B%29=2%2F4=1%2F2
P%28C%29=1%2F3
P%28D%29=1 Since there are no artificial oranges left.
P=+%283%2F5%29%281%2F2%29%281%2F3%29+=1%2F10
.
.
.
2) Treat the biology books as one unit so then there are 9 books to choose from.
N=9%21
However within the four biology books unit, the biology books can be arranged in 4%21 different ways so,
N=9%214%21=8709120