A and B are two horses. The probability of A winning a race is $\large\frac{1}{3}$ and that of horse B winning the same race, is $\large\frac{1}{5}$. The probability that none of them will win is :

Question

$\begin {array} {1 1} (1)\;\large\frac{7}{15} & \quad (2)\;\large\frac{8}{15} \\ (3)\;\large\frac{1}{3} & \quad (4)\;None \: of \: these \end {array}$