Ashley takes her 3-year-old brother Alex into an antique shop. There are 5 statues, 4 picture frames, and 3 vases on a shelf. Alex accidentally knocks 2 items off the shelf and breaks them. Choose the probability best described by: 1/22. A - breaking statute, then frame B - breaking a vase, then a statue C - breaking 2 vases D - breaking 2 picture frames
i think breaking 2 picture frames
breaking statue followed by frame: (5/12) x (4/11) = 5/33 breaking a vase then statue: (3/12) x (5/11) = 5/44 breaking 2 vases: (3/12) x (2/11) = 1/22 breaking 2 picture frames: (4/12) x (3/11) = 1/11
The product of the probabilities is the total probability: For the vases: \[\frac{3}{12} \cdot \frac{2}{11}=\frac{1}{22}\]
the answer is C- breaking 2 vases
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