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 requires 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) = 0.30 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.60. If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
A)0.1.
B)0.18.
C)0.2.
D)None of the answer options is correct.

Question

Quizplus · Accepted Answer

We use the formula P(A and B) = P(A) * P(B) for independent events.

Let A = getting a Bachelor of Science degree
Let B = getting a Bachelor of Arts degree

Then P(A and B) = P(A) * P(B) = 0.3 * 0.6 = 0.18

Therefore, the probability of getting a Bachelor of Arts and Science degree is 0.18 or 18%, which corresponds to choice B.

University Degree Requirements Typically Are Different for Bachelor of Science