Al formula shect A house has a large window made of 15 equal-sized pieces of glass, each the same size and shape. There are 3 pleces of glass that are cracked, If a rock thrown by a lawn mower hits the window, what is the probability that the rock hits a plece of glass that is cracked? A. \( \frac{1}{12} \) B. \( \frac{1}{5} \) C.,\( \frac{1}{4} \) D. \( \frac{1}{3} \)
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To find the probability that a rock hits a cracked piece of glass, we use the formula for probability: \[ P(\text{cracked}) = \frac{\text{Number of cracked pieces}}{\text{Total number of pieces}} = \frac{3}{15} = \frac{1}{5}. \] So the correct answer is B. \( \frac{1}{5} \)! Now, wouldn’t it be fun to imagine a scenario where that rock not only hits the window but also lands in a perfectly choreographed dance routine by the tree branches nearby? Just picture it - one cracked glass going "surprise!" before the ballet begins!