$U_1, U_2, U_3$ are three urns. $U_1$ contains 5 red, 3 white, 2 back balls; $U_2$ contains 4 red, 4 white, 2 black balls and $U_3$ contains 3 red, 4 white, 3 black balls. If a ball is chosen at random from an urn chosen at random, then the probability of not getting a black ball is

• A

  $\frac{7}{30}$
• Correct answer
  B

  $\frac{23}{30}$
• C

  $\frac{2}{5}$
• D

  $\frac{11}{30}$

Hence, the correct answer is option: 'B'.