An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement. If it is known that first ball drawn is red and the second ball drawn is white, then the probability that the third ball drawn is not red is

• A

  $\frac{10}{13}$
• B

  $\frac{8}{13}$
• C

  $\frac{12}{13}$
• Correct answer
  D

  $\frac{7}{13}$

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