College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results.
$$\begin{array} { c | c c c c }
\text { toppings } & \text { freshman } & \text { sophomore } & \text { junior } & \text { senior } \
\hline \text { cheese } & 16 & 16 & 26 & 29 \
\text { meat } & 25 & 29 & 16 & 16 \
\text { veggie } & 16 & 16 & 25 & 29
\end{array}$$
Given that a student's favorite topping is veggie, what is the probability that the student is a junior or a senior?
A)0.208
B)0.380
C)0.385
D)0.41
E)0.631

Question

College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results.
 $$\begin{array} { c | c c c c } 
\text { toppings } & \text { freshman } & \text { sophomore } & \text { junior } & \text { senior } \
\hline \text { cheese } & 16 & 16 & 26 & 29 \
\text { meat } & 25 & 29 & 16 & 16 \
\text { veggie } & 16 & 16 & 25 & 29
\end{array}$$
Given that a student's favorite topping is veggie, what is the probability that the student is a junior or a senior?
A)0.208
B)0.380
C)0.385
D)0.41
E)0.631

Quizplus · Accepted Answer

The total number of students who prefer veggie is $16 + 16 + 25 + 29 = 86$. The number of juniors and seniors who prefer veggie is $25 + 29 = 54$. Therefore, the probability that a student whose favorite topping is veggie is a junior or senior is $\frac{54}{86} \approx 0.628$, which rounds to 0.63, closest to choice E (0.631).

College Students Were Given Three Choices of Pizza Toppings and Asked