The problem of statistics is given in two sections of same standard. The odds against for section X to solve the problem are 4 : 3 and odds in favour to section Y for solving the same problem are 7 : 8. The probability that neither section solves the problem of statistics. if both sections try independent of each other, is:

A

$$\frac{21}{105}$$

B

$$\frac{32}{105}$$

C

$$\frac{84}{105}$$

D

$$\frac{73}{105}$$