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
12

Answer 1

To find out how many unsharpened colored pencils we would expect in the entire basket, we can use the proportion of unsharpened pencils in the sample selected.

Avery selected 50 colored pencils, and out of those, 2 were unsharpened. This means the proportion of unsharpened pencils in the sample is:

\[ \frac{2}{50} = \frac{1}{25} \]

Now, we can use this proportion to estimate the number of unsharpened pencils in the entire basket of 300 pencils:

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

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