166k views
4 votes
jill kept 5 colored pencils in her pencil pouch: one yellow, one red, one orange, one blue, and one black. she took one pencil from the pencil pouch without looking, but it was the wrong color. she put that pencil back in the pouch and took another pencil form the pouch without looking. what is the probability that jill selected the black pencil first and the orange pencil second?

User Svdree
by
6.6k points

2 Answers

4 votes

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.

User Hsmiths
by
6.8k points
6 votes
four out of five I think because she already picked out one

User Thawn
by
7.2k points
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