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Question
mrs. hunter has a box with 5 unsharpened pencils and 10 sharpened pencils. if she takes out 1 pencil without looking, what are the chances that the pencil she gets will be sharpened? impossible certain unlikely but not impossible likely but not certain
Step1: Calculate total number of pencils
Total pencils = Unsharpened + Sharpened = 5 + 10 = 15
Step2: Calculate probability of getting a sharpened pencil
Probability = $\frac{\text{Number of sharpened pencils}}{\text{Total number of pencils}}=\frac{10}{15}=\frac{2}{3}$
Since $\frac{2}{3}$ is greater than $\frac{1}{2}$ but less than 1, it is likely but not certain.
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Likely but not certain