Question: Six particles in a container can move in only one of six directions: up, down, left, right, forward, and backward. If the particles move randomly

Six particles in a container can move in only one of six directions: up, down, left, right, forward, and backward. If the particles move randomly such that each collides and changes direction every $1.0 \times 10^{-6} \mathrm{~s}$, for how many seconds during a $24-\mathrm{h}$ day are all six particles moving in the same direction?

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