Question 9
In a class of 50 students, 18 play football, 20 volleyball and 21 handball. If 9 play football and volleyball, 6 football and handball, 11 volleyball and handball while 15 play none of the 3 games:
- represent the information in a Venn diagram;
- how many students play:
- all the three games?
- only one game?
- only football?
- If a student is chosen at random from the class, find the probability that the student played only two games.
Observation
The Chief Examiner reported that many candidates were able to complete the Venn diagram.
In part (a), they were expected draw the Venn diagram as shown:
Let x = those who play all the three games
