9. A total of 20 trucks were tested at a Garda check point. Six trucks failed the test for brakes ( B ), seven trucks failed the test for headlights ( L ) and nine trucks passed the test for both brakes and headlights.


Use the information provided to answer the following. (i) Copy and complete the Venn diagram provided. 핌


B 4 9


(ii) How many trucks failed both the brakes and headlights test?


(iii) Based on these 20 trucks, calculate the probability of a truck failing both tests. Express your answer as a percentage.


10. In a particular class there are: ● ●


● ● 8 students who play football and hockey


7 students who do not play football (F) or hockey (H)


13 students who play hockey 19 students who play football


(ii) How many members use the pool and go to the aerobics classes?


(iii) If a member is selected at random, calculate the probability that they like exactly one activity.


12. A class of 30 students is asked if they have a brother ( B ) or a sister ( S ) .


● ● ●


21 students have a brother 16 students have a sister


8 students have a brother, but not a sister.


(i) Show this information on a Venn diagram.


핌 B S L


11. A gym has 150 members. ●


●


112 members use the swimming pool ( P ) .


68 members go to the aerobics classes ( A ) .


●


14 members don’t use the pool or go to the aerobics classes.


(i) Use this information to complete the Venn diagram provided.


핌 P A


(i) Copy and complete the Venn diagram below. 핌


F H


(ii) How many students have a sister only?


(iii) If a student is selected at random, what is the probability they are an only child, P (B∪S)′ ?


(ii) How many students do not play hockey? (iii) How many students play football only? (iv) How many students are in the class? (v)


110 Linking Thinking 2


If a person is selected at random, calculate the probability that they do not play football, P( F ’).


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