Final answer:
The probability of Jill selecting the black pencil first and the orange pencil second is 0.05.
Step-by-step explanation:
The probability that Jill selected the black pencil first and the orange pencil second can be calculated by multiplying the probabilities of each event together.
First, we calculate the probability of selecting the black pencil first. There are 5 colored pencils in total, so the probability of selecting the black pencil is 1/5 or 0.2.
Next, we calculate the probability of selecting the orange pencil second. After Jill put the wrong color pencil back in the pouch, there are 4 colored pencils left. Since Jill didn't replace the pencil, the probability of selecting the orange pencil is 1/4 or 0.25.
To find the probability of both events happening, we multiply the probabilities together: 0.2 * 0.25 = 0.05.