Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?(1 point)

Question

Responses

20
20

2
2

120
120

12

Answer 1

To find the expected number of unsharpened colored pencils in the basket, we can use the ratio of unsharpened pencils in the selected sample to extrapolate for the total number of pencils in the basket.

From the information provided:

• Avery selected 50 colored pencils, out of which 2 were unsharpened.
• This gives a ratio of unsharpened pencils in the sample: \( \frac{2}{50} = \frac{1}{25} \).

Now, if the basket contains a total of 300 colored pencils, we can expect the number of unsharpened pencils in the entire basket to be:

\[ \text{Expected unsharpened pencils} = \text{Total pencils} \times \text{Ratio of unsharpened pencils} \] \[ = 300 \times \frac{1}{25} = 12 \]

Therefore, the expected number of unsharpened colored pencils in the basket is 12.