Answer:
Probability that both balls are white \(=\frac{6}{117} =0.051=5.1\%\)
Step-by-step explanation:
Probability is the ratio of number of favorable outcomes to total number of outcomes.
The first urn contains 2 white balls and 7 yellow balls and the second urn contains 3 white balls and 10 yellow balls.
Probability of drawing white ball from first urn \(=\frac{2}{2+7} =\frac{2}{9}\)
Probability of drawing white ball from second urn \(=\frac{3}{3+10} =\frac{3}{13}\)
Probability that both balls are white = Probability of drawing white ball from first urn x Probability of drawing white ball from second urn
Probability that both balls are white \(= \frac{2}{9} \times \frac{3}{13}=\frac{6}{117} =0.051=5.1\%\)
