SOLUTION: There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at

Algebra ->  Probability-and-statistics -> SOLUTION: There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at       Log On


   



Question 1117422: There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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In all, there are 4 +3 + 5 = 12 marbles.


The probability to get first marble red is  1%2F12.


The probability to get second marble red is the same  1%2F12.


Since the outcomes of the first and the second experiments are independent,

the probability to get both 2 red marbles is the product  %281%2F12%29%2A%281%2F12%29 = 1%2F144.


Answer.  The probability under the question is  1%2F144.