Problem 1. Probability (10 points)

Supposethattherearethreesessionsformachinelearning course,includingSession1(S1),Session2(S2), and Session 3 (S2), with students coming from different majors, including Computer Science (CS), Statistics (STAT), and Management (MG). The number of students in each session is shown in the followingtable.

Major	Session 1	Session 2	Session 3
CS	6	10	6
STAT	8	10	6
MG	6	0	8

Ifasession ischosenatrandomwithprobability(1)=0.2,(2)=0.2,(3)=0.6,andastudentin the selected session is selected to give a presentation about machine learning (with equal probability of selecting any of the students in the session), please find the followingprobabilities.

1. The probability of select a student majored inCS.
2. If we know that the selected student is from STAT, what is the probability that the student comes from Session 3?