QuestionUse the table to find the probability.
P (The degree is not a bachelor's, given that the recipient is female.)
Projected Number of Degree Recipients in 2010 (thousands)
\begin{tabular}{|c|c|c|}
\hline Degree & Male & Female \\
\hline Associate's & 217 & 378 \\
\hline Bachelor's & 483 & 897 \\
\hline
\end{tabular}
The probability that the degree is not a bachelor's given that the recipient is female is .
(Round to two decimal places as needed.)
Studdy Solution
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
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
We're asked to round to two decimal places, so our **final probability** is approximately **0.30**.
STEP 8
The probability that the degree is not a bachelor's, given that the recipient is female, is approximately **0.30**.
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