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Mark has a bag that contains exactly 3 black marbles, 6 gold marbles, 2 purple
marbles and 6 red marbles.
Mark finds a number of white marbles and adds them to the bag. He tells Sam
that if she now draws a marble at random from the bag, the probability of it
being black or gold is 3
7
.
How many white marbles did Mark add to the bag?
 Oct 7, 2013
 #1
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Probabilities must be between 0 and 1 inclusive
If something cannot happen, the probability is 0
If something has to happen the probability is 1
So you probability of 3 doesn't make any sense.

Maybe you meant P(black or gold) = 3/7
There are 9 marbles that are either black or gold
Let there be x white marbles.
So the number of marbles altogether is 3+6+2+6+x = 17+x

so 9/(17+x) = 3/7
Now just solve it as a little equation to get the value of x.
 Oct 7, 2013

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