Avery randomly selects 50 colored pencils from a basket and finds two are not sharpened. If the basket contains 300 colored pencils how many would you expect to be unsharpened
We can set up a proportion to solve the problem:
unsharpened pencils / total pencils = 2/50
We can simplify by cross-multiplying:
unsharpened pencils * 50 = 2 * total pencils
unsharpened pencils = 2 * total pencils / 50
Now we can plug in the given information:
unsharpened pencils = 2 * 300 / 50 = 12
Therefore, we would expect about 12 colored pencils in the basket to be unsharpened.
To determine the expected number of unsharpened colored pencils, we can use the concept of probability.
Probability of selecting an unsharpened colored pencil = (Number of unsharpened colored pencils) / (Total number of colored pencils)
We know that Avery randomly selects 50 colored pencils and finds two unsharpened. Therefore, the probability of selecting an unsharpened colored pencil is 2/50.
Now, we can find the expected number of unsharpened colored pencils by multiplying the probability with the total number of colored pencils.
Expected number of unsharpened colored pencils = (Probability of selecting an unsharpened colored pencil) * (Total number of colored pencils)
Expected number of unsharpened colored pencils = (2/50) * 300
Calculating this, the expected number of unsharpened colored pencils in the basket would be 12.