The probability that Juan does his math home work tonight is $\large\frac{2}{5} $ and Nicole does her homework is $\large\frac{9}{10}$ and that Amy does her homework is $\large\frac{7}{9}$ What is the probability that none of them do their homework ?

Question

$\begin{array}{1 1} (a)\; \large\frac{1}{90} \\ (b)\; \large\frac{1}{50} \\ (c)\;\large \frac{1}{75} \\ (d)\; \text{None of the above} \end{array}$