Three dice are thrown simultaneously and the sum of the numbers appeared on them is noted. If $A$ is the event of getting a sum greater than 14 and $B$ is the event of getting a sum which is a multiple of 3, then $\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})+\mathrm{P}(\overline{\mathrm{A}} \cap \mathrm{B})=$

• Correct answer
  A

  $\frac{35}{108}$
• B

  $\frac{17}{54}$
• C

  $\frac{45}{108}$
• D

  $\frac{5}{54}$

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