TeX source:
\begin{align*} P\left(D_{1}^{c} \cap D_{2}^{c} \cap D_{3}^{c}\right)=P\left(D_{1}^{c}\right) \cdot P\left(D_{2}^{c}\right) \cdot P\left(D_{3}^{c}\right)=0.10 \times 0.10 \times 0.10=0.001 \end{align*}