The distribution of Bachelorʹs degrees conferred by a university is listed in the table. Assume that a studentmajors in only one subject. What is the probability that a randomly selected student with a Bachelorʹs degreemajored in Physics or Philosophy? Round your answer to three decimal places. $$\begin{array} { l | c }
\text { Major } & \text { Frequency } \
\hline \text { Physics } & 227 \
\text { Philosophy } & 205 \
\text { Engineering } & 86 \
\text { Business } & 176 \
\text { Chemistry } & 222
\end{array}$$
A) 0.472
B) 0.528
C) 0.248
D) 0.224

Question

The distribution of Bachelorʹs degrees conferred by a university is listed in the table. Assume that a studentmajors in only one subject. What is the probability that a randomly selected student with a Bachelorʹs degreemajored in Physics or Philosophy? Round your answer to three decimal places. $$\begin{array} { l | c } 
\text { Major } & \text { Frequency } \
\hline \text { Physics } & 227 \
\text { Philosophy } & 205 \
\text { Engineering } & 86 \
\text { Business } & 176 \
\text { Chemistry } & 222
\end{array}$$
A) 0.472
B) 0.528
C) 0.248
D) 0.224

Quizplus · Accepted Answer

The probability of selecting a student with a Bachelor's degree in Physics or Philosophy is the sum of the probabilities of selecting a student with a Bachelor's degree in Physics and the probability of selecting a student with a Bachelor's degree in Philosophy. The probability of selecting a student with a Bachelor's degree in Physics is 227/816, and the probability of selecting a student with a Bachelor's degree in Philosophy is 205/816. Therefore, the probability of selecting a student with a Bachelor's degree in Physics or Philosophy is 227/816 + 205/816 = 432/816 = 0.528 (rounded to three decimal places).

The Distribution of Bachelorʹs Degrees Conferred by a University Is