There are 30 student in a class 20 of them play football 16 play hockey and 16 play volley. 9 play all the 3 games. 15 play football and volley. 11 play football and hockey while 10 play hockey and volley.

Question

(a) illustrate the information on a Venn diagram.
(b) using your Venn diagram, find the number of students who play at least two games.
(c) what is the probability that a student choosen at the random from the class does not play any of the 3 games.