Sets and Venn Diagrams Diagnose

There are 30 students in a class.

17 students like apples.

12 students like bananas.

3 students like apples and bananas.

a) State which numbers would complete the Venn diagram above, where A and B represent students who like apples and students who like bananas, respectively.

w = π + − ÷ × < > ≤ ≥ π , x = π + − ÷ × < > ≤ ≥ π , y = π + − ÷ × < > ≤ ≥ π , z = π + − ÷ × < > ≤ ≥ π

b) What is the probability that a student in the class likes apples, given that they like bananas? Type your answer without spaces.  Make sure you use forward slash (x/y) for a fraction. π + − ÷ × < > ≤ ≥ π