But 1/6 is not the probability of anything at all relevant. What do you think has a probability of 1/6?

The most intuitive way to do this problem is to realize that there are 8 possible NON-overlapping cases, namely

WWW

BWW

WBW

WWB

WBB

BWB

BBW

BBB

Are those cases equiprobable? No.

What is the probability of the first case?

\(\displaystyle \dfrac{5}{10} * \dfrac{4}{9} * \dfrac{3}{8} = \dfrac{60}{720} = \dfrac{1}{12}.\)

Do you follow that?

What is the probability of the second case?

\(\displaystyle \dfrac{5}{10} * \dfrac{5}{9} * \dfrac{4}{8} = \dfrac{100}{720} = \dfrac{5}{36}.\)

Do you follow that?

Can you work out the probabilities of the remaing 6 cases?

Of the 8 cases, which ones give you a result with more than one color?

So what is the probability of more than one color?

This approach is

**NOT** the most efficient way to get the answer, but it may explain the answer.