Math Snap

STEP 1

What is this asking?
Out of all the female degree recipients, what are the chances the degree isn't a bachelor's degree?
Watch out!
We're only looking at the females here, so don't accidentally include the males in our calculations!

STEP 2

1. Find the total number of female recipients.
2. Find the number of female recipients with an associate's degree.
3. Calculate the probability.

STEP 3

Let's add the number of female associate's degree recipients and the number of female bachelor's degree recipients to find the total number of female degree recipients.
We're doing this because the problem asks us about the probability given that the recipient is female, so we need to know how many females there are in total!

STEP 4

$$378 + 897 = 1275$$ So there are a whopping 1275 thousand female recipients!

STEP 5

From the table, we can see that 378 thousand females received an associate's degree.
This is exactly what we need since an associate's degree is not a bachelor's degree.

STEP 6

Now for the grand finale!
To calculate the probability, we'll divide the number of female associate's degree recipients (which is not a bachelor's) by the total number of female recipients.
We're doing this because probability is all about comparing the number of ways something can happen to the total number of possible outcomes.

STEP 7

$$\frac{378}{1275} \approx 0.2965$$ We're asked to round to two decimal places, so our final probability is approximately 0.30.

The probability that the degree is not a bachelor's, given that the recipient is female, is approximately 0.30.