SOLUTION: You are going to draw 3 balls from the sack containing, 7 red balls,5 green balls, and 4 blue balls. If you REPLACE THE BALLS AFTER EACH DRAWING, what is the probability of drawing

Algebra ->  Permutations -> SOLUTION: You are going to draw 3 balls from the sack containing, 7 red balls,5 green balls, and 4 blue balls. If you REPLACE THE BALLS AFTER EACH DRAWING, what is the probability of drawing      Log On


   



Question 1201421: You are going to draw 3 balls from the sack containing, 7 red balls,5 green balls, and 4 blue balls. If you 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(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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You are going to draw 3 balls from the sack containing, 7 red balls,5 green balls, and 4 blue balls.
If you 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?
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Total balls is 7 + 5 + 4 = 16.


(a)  P = %287%2F16%29%2A%287%2F16%29%2A%287%2F16%29 = 7%5E3%2F16%5E3.


(b)  P = %285%2F16%29%2A%285%2F16%29%2A%285%2F16%29 = 5%5E3%2F16%5E3.


(c)  P = %284%2F16%29%2A%284%2F16%29%2A%284%2F16%29 = 4%5E3%2F16%5E3 = 1%2F4%5E3.


(d)  P = %287%2F16%29%2A%285%2F16%29%2A%284%2F16%29 = reduce it.


(e)  P = 6%2A%287%2F16%29%2A%285%2F16%29%2A%284%2F16%29 = reduce it.  

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

I answered all your questions.