If you know that a randomly chosen person 25 years of age or older is a college graduate, what is the probability that he/she is in the force labor? Show your work.

Given for college graduates:
total pop = 51,582
in labor force = 40,390
employed = 39, 293

I tried using the Case 1 equation but I am sure that I used the numbers incorrectly because I kept on getting big numbers like 400 or something. Please help?

Thanks!

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Sure! Let's work through the problem step by step.

First, let's identify the relevant numbers:

Total population of college graduates = 51,582
Number of college graduates in the labor force = 40,390
Number of college graduates employed = 39,293

Now, we want to find the probability that a randomly chosen college graduate from this population is in the labor force. The formula we will use is:

Probability = Number of desired outcomes / Total number of possible outcomes

In this case, the desired outcome is being in the labor force, and the possible outcomes are all college graduates.

To calculate the probability, we will divide the number of college graduates in the labor force by the total number of college graduates:

Probability = Number of college graduates in the labor force / Total number of college graduates

Probability = 40,390 / 51,582

Now we can calculate the answer:

Probability = 0.783 or 78.3%

Therefore, the probability that a randomly chosen person, 25 years of age or older and a college graduate, is in the labor force is 78.3%.

Hope this helps!