posted by Anonymous .
In class of 125 students, 70 students passed in Math, 56 students passed in Statistics, and 30 passed in both. The probability that a student selected at random from the class, has passed in only one subject is
Draw a Venn diagram or use the inclusion/exclusion principle to show that
there are 70-30=40 students passed only math, and 56-30=26 students passed only statistics.
So there is a total of 40+26=66 students who passed only one subject.
So what is the probability of randomly choosing one student from a class of 125 such that this student is one of 66 who passed only one subject?