University degree requirements typically are different for Bachelor of Science d

Question

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) None of the answer options are correct.

b) 0.18.

c) 0.1.

d) 0.2.

Explanation / Answer

If getting Ia 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 = 0.3*0.6 = 0.18

Using the law of probability, that if two events are independent with probability P(A) and P(B)

then probability of both hapening is simply = P(A)*P(B)

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