Given the venn diagram below, if a student is randomly selected, what is the probability that he or she is attending both colleges?

Add up all the values shown:
64+28+52+56 = 200

This result indicates that there are 200 students total.

Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles. 

Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%

The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.