Target Practice

An arrow has a 1/4 chance of hitting its target. If four arrows are shot at one target, what’s the chance that the target will be hit?

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Each arrow has 3/4 chance of missing, so the chance that all four arrows miss is 3/4 × 3/4 × 3/4 × 3/4 = 81/256. The chance that at least one arrow hits the target is 1 – 81/256 = 175/256, or about 0.684.