During one year, the College of Public Programs at a major university awarded the following number of

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During one year, the College of Public Programs at a major university awarded the following number of master's degrees.
Type of degree _________________________ Frequency
Master of arts ......................................... 3
Master of public administration .................... 28
Master of science .................................... 19
Two students who received such master's degrees are selected at random without replacement. Determine the probability that
a. The first student selected received a master of arts and the second a master of science.
b. Both students selected received a master of public administration.
c. Construct a tree diagram for this problem similar to the one shown in Fig. 4.25 on page 194.
d. Find the probability that the two students selected received the same degree.
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