In a race where 12 cars are running, the chance that car X will win is $$\frac{1

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In a race where 12 cars are running, the chance that car X will win is $$\frac{1}{6},$$ that Y will win is $$\frac{{1}}{{10}}$$ and that Z will win is $$\frac{{1}}{{8}}$$. Assuming that a dead heat is impossible. Find the chance that one of them will win.

Options:

A . $$\frac{{47}}{{120}}$$

B . $$\frac{{1}}{{480}}$$

C . $$\frac{{1}}{{160}}$$

D . $$\frac{{1}}{{240}}$$

Answer: Option A

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