SOLUTION: If you are going to be drawing 3 balls from a sack containing 4 red balls, 3 green balls and 6 blue balls. If you DO NOT REPLACE the balls after each drawing, what is the probabili

Algebra ->  Permutations -> SOLUTION: If you are going to be drawing 3 balls from a sack containing 4 red balls, 3 green balls and 6 blue balls. If you DO NOT REPLACE the balls after each drawing, what is the probabili      Log On


   



Question 1201418: If you are going to be drawing 3 balls from a sack containing 4 red balls, 3 green balls and 6 blue balls. If you DO NOT REPLACE the balls after each drawing, what is the probability of drawing:
a) all red balls?
b) all green balls?
c) all blue balls?
d) A red ball, a blue ball and a green ball in that order?
e) A red ball, a blue ball and a green ball in any order?

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Total balls is 4 + 3 + 6 = 13.


(a)  P = %284%2F13%29%2A%283%2F12%29%2A%282%2F11%29 = %284%2A3%2A2%29%2F%2813%2A12%2A11%29 = 24%2F1716 = reduce this fraction.


(b)  P = %283%2F13%29%2A%282%2F12%29%2A%281%2F11%29 = 6%2F1716 = reduce this fraction.


(c)  P = %286%2F13%29%2A%285%2F12%29%2A%284%2F11%29 = 120%2F1716 = reduce this fraction.


(d)  P = %284%2F13%29%2A%286%2F12%29%2A%283%2F11%29 = reduce it.


(e)  P = 6%2A%284%2F13%29%2A%286%2F12%29%2A%283%2F11%29 = reduce it.  

     Here 6 = 1*2*3 is the number of all possible permutations of 3 items.

I answered all your questions.

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