The following table lists the 25 largest U.S. universities according to enrollment figures from The World Almanac. The state of location is given in parentheses.
University ................ Enrollment
University of Phoenix (AZ) ......... 292, 797
Arizona State University (AZ) ........ 68, 064
Ohio State University (OH) ......... 55, 014
University of Central Florida (FL) ....... 53, 537
University of Minnesota (MN) ......... 51, 659
University of Texas at Austin (TX) ...... 50, 995
University of Florida (FL) ......... 50, 691
Texas A&M University (TX) ......... 48, 703
Michigan State University (MI) ....... 47, 278
University of South Florida (FL) ....... 47, 024
University of Washington (WA) ....... 45, 943
Penn State, University Park (PA) ....... 45, 185
University of Illinois (IL) .......... 43, 881
New York University (NY) .......... 43, 404
Indiana University (IN) .......... 42, 347
University of Wisconsin (WI) ........ 42, 099
University of Michigan (MI) ........ 41, 674
University of California, Los Angeles (CA) .. 39, 984
Florida State University (FL) ......... 39, 785
Florida International University (FL) ..... 39, 718
Purdue University (IN) ........... 39, 697
University of Arizona (AZ) ........ 38, 767
Rutgers, the State University of New Jersey (NJ). 37, 364
University of Maryland, College Park (MD) .. 37, 146
University of Houston (TX) .......... 37, 000

a. If five different universities are selected randomly from the list, what is the probability that three of them have enrollments of 40, 000 or more?
b. If eight different universities are selected randomly from the list, what is the probability that two or fewer are universities in Florida?
c. Suppose universities are being selected randomly from this list with replacement. If five universities are sampled, what is the probability that the sample will contain exactly two universities in Texas?