Question

Three urns U portions: 1,2 and 3 contain red and and yellow balls in the following pro- Red43 4 Yellow 23 7 If a ball is withdrawn from each urn, what is the probability that they are all of th<e same color?

Answer 1

Required probability = P(all balls drawn are of the same color)

= P(all drawn balls are Red) + P(all drawn balls are Yellow)

= $\frac{4}{6}\times \frac{3}{6}\times \frac{4}{11}&plus;\frac{2}{6}\times \frac{3}{6}\times \frac{7}{11}=\frac{5}{22}=0.2273$