On a certain day, a cheese packaging facility packaged 560 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both majo minor flaws. The following table presents the results.
$\begin{array}{ccc}
\hline & \text { Minor Flaw } & \text { No Minor Flaw } \
\hline \text { Major Flaw } & 17 & 39 \
\text { No Major Flaw } & 50 & 454 \
\hline
\end{array}$
Find the probability that randomly chosen cheese package has a flaw (major or minor).
A) 0.811
B) 0.159
C) 0.189
D) 0.22

Question

Quizplus · Accepted Answer

The total number of packages with any flaw is the sum of those with major flaws (17 with minor + 39 without minor = 56), those with minor flaws (17 with major + 50 without major = 67), minus those with both flaws (to avoid double counting) which is 17. So, the total with any flaw is 56 + 67 - 17 = 106. The probability is 106 flawed out of 560 total, which is 106/560 = 0.189.

On a Certain Day, a Cheese Packaging Facility Packaged 560