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Problem Solving (PS) | Re: If the probability of choosing 2 red marbles without replacement from

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Bunuel wrote:

If the probability of choosing 2 red marbles without replacement from a bag of only red and blue marbles is \(\frac{3}{55}\) and there are 3 red marbles in the bag, what is the total number of marbles in the bag?

A) 10

B) 11

C) 55

D) 110

E) 165


Red marbels = 3
Let the number of blue marbels = n
Total marbel = n+3

The ways to choose 2 red marbles without replacement from 3 is 3*2
The ways to choose 2 marbles without replacement from n+3 is (n+3)(n+2)
Hence Probability = 6/(n+3)(n+2) = 3/55
or 2/(n+3)(n+2)
...

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