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)
Responses
120
120
12
12
20
20
2
To find the expected number of unsharpened colored pencils, we can use the concept of probability. The probability of selecting an unsharpened colored pencil is the ratio of the number of unsharpened colored pencils to the total number of colored pencils in the basket.
There are 2 unsharpened colored pencils out of a total of 300 colored pencils in the basket. So, the probability of selecting an unsharpened colored pencil is 2/300.
To find the expected number of unsharpened colored pencils when selecting 50 colored pencils, we multiply the probability by the number of colored pencils selected:
Expected number of unsharpened colored pencils = (2/300) * 50
Simplifying the expression, we get:
Expected number of unsharpened colored pencils = 1/15
Therefore, we would expect 1/15 of the selected colored pencils to be unsharpened. Since we selected 50 colored pencils, we can calculate the expected number of unsharpened colored pencils:
Expected number of unsharpened colored pencils = (1/15) * 50
Simplifying the expression, we get:
Expected number of unsharpened colored pencils = 50/15
Approximately, the expected number of unsharpened colored pencils is 3.33.
Therefore, we would expect about 3 unsharpened colored pencils from the 50 randomly selected colored pencils.