$[10$ points$]$ A face mask has three layers, each with different material. Each material can filter the particles, such as dust particles and bacteria. The mask can filter a particle if any one of the three particles can filter the particles. The reliability $($ability to filter the smallest particles$)$ of the layers are $70\%,65\%,$ and $75\%,$ respectively. What is the overall reliability of the face mask? Your answer should show all the calculations and answer should be presented as described in the Question$/$ answer examples $(22^{nd}$ nage$)$