University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which require meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science) = 0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.6. The study also shows that the probability a student gets no degree is P(no) = 0.2. Some probability calculations show the probability of getting a Bachelor of Arts and Sciences to be P(Arts & Science) = 0.1. Getting a Bachelor of Arts degree and getting a Bachelor of Science degree are:
A)disjoint events.
B)independent events.
C)adverse events.
D)dependent events.

Question

Quizplus · Accepted Answer

Given that the probability of getting both a Bachelor of Arts and Science degree is non-zero (P(Arts & Science) = 0.1), this indicates that the events are not disjoint (mutually exclusive), as students can indeed achieve both degrees. They are not independent either, because the occurrence of one affects the probability of the other happening (evidenced by a specific probability for achieving both). Thus, they are dependent events.

University Degree Requirements Typically Are Different for Bachelor of Science