SOLUTION: Hi, I am so confused with marbles probability. Can you solve and let me know how you achieved the answer to the following: A box contains 3 white, 2 red, and 4 black marbles. One

Question 861162: Hi,
I am so confused with marbles probability. Can you solve and let me know how you achieved the answer to the following:
A box contains 3 white, 2 red, and 4 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)
Thank you in advance
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are marbles.
Each marble is as likely to be picked as any other marble.
Because of the marbles are black,
there is a probability to get a black marble.
There is a probability of getting a marble that is not black.
Overall, there is a probability of getting a white marble.
However, out of the of the cases where the marble is not black,
there is of those cases, when the marble is white.

Look at it this way:
If you repeat the experiment 9 million times,
you expect to get a black marble 4 million times.
The other 5 million times the marble picked will not be black.
in fact, in 3 million of those cases the marble will be white.
That is of the cases when the marble is not black.
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