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## anonymous 3 years ago In a bag there are 2 black and 4 white identical rings. Two rings are drawn from the bag at random. Find the probability that only one of them is white.

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1. anonymous

first one is black AND second one is white OR first one is white AND second one is black is one way to proceed

2. anonymous

$\frac{2}{6}\times \frac{4}{5}+\frac{4}{6}\times \frac{1}{5}$ is one way there are others

3. anonymous

for example you could compute $\frac{\binom{4}{1}\times \binom{2}{1}}{\binom{6}{2}}$

4. anonymous

second way is probably snappier, gives $\frac{8}{15}$ right away

5. klimenkov

@satellite73 May be there is a mistake in your second post? Can you please explain why does the second way give the right result?

6. anonymous

thank you :)

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