For a member of a certain book club, 40 people have read book A. 52 have read book B. 63...

For a member of a certain book club, 40 people have read book A. 52 have read book B. 63 have read book C. 20 have read both books A and B. 40 have read books B and C and 30 have read books C and A. 15 have read all 3 books. There are 100 people in the book club.

a. Draw a Venn Diagram and mark the numbers corresponding to each region.

b. Find the probability that a randomly chosen member has:

          i. Read none of the books A, B or C

          ii. Read book B but not book A

          iii. Has read at least two of the books A, B, C

          iv. Has read book A or book C (or both)