A survey of 500 students taking one or more courses in different subjects during one semester revealed the following numbers of students in the indicated subjects. Algebra - 329 Algebra and Physics -...

A survey of 500 students taking one or more courses in different subjects during one semester revealed the following numbers of students in the indicated subjects.

Algebra - 329              Algebra and Physics - 83

Physics - 186               Algebra and Statistics - 217

Statistics – 295            Physics and Statistics - 63

All three subjects – 27

If a student is selected at random, find the probability that:

1. a) the student is not taking Algebra;


2. b) the student is taking Statistics but not Physics and Algebra


3. c) the student is taking Statistics and Algebra but not Physics


4. d) the student is not taking any of the three subjects.