Question 1112837
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All black: {{{(1/3)(1/2)(1/3) = 1/18}}}
All brown: {{{(1/3)(0/2)(1/3) = 0}}}
All blue: {{{(1/3)(1/2)(1/3) = 1/18}}}<br>
All the same color: {{{1/18+0+1/18) = 2/18 = 1/9}}}
Answer: 1/9 probability that all are the same color.<br>
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OR...<br>
3*2*3=18 possible combinations total;
2 combinations with all the same color (black or blue);
probability that all are the same color: 2/18 = 1/9