## antoni7 Group Title 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. one year ago one year ago

1. satellite73 Group Title

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. satellite73 Group Title

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

3. satellite73 Group Title

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

4. satellite73 Group Title

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

5. klimenkov Group Title

@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. antoni7 Group Title

thank you :)