(a) Henry puts eight counters into a bag. Each counter has a different whole number on it between 1 and 8. He picks a counter at random from the bag and the number is noted.
Choose from the words in the box to complete each sentence.
likely impossible certain evens unlikely
(i) It is .............................. that he picks a number less than 9. [1]
(ii) It is .............................. that he picks an odd number. [1]
(b) The Venn diagram shows the number of students who passed their examination in French (F) and those who passed their examination in Mathematics (M). The number of students who did not pass either examination is b.
(i) Find the value of \(b\) if the total number of students is 55. [1]
One of the 55 students is selected at random.
What is the probability that this student
(ii) passed both French and Mathematics, [1]
(iii) passed exactly one of these two subjects? [1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
(i) certain
1
(ii) evens
1
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) 6
1
(ii) \(\dfrac{21}{55}\) oe
1
Condone correct probability and unlikely for 1 mark Accept [0].3818 to [0].382 or 38.18% to 38.2% but not ratio or in words
(iii) \(\dfrac{28}{55}\) oe
1
Condone correct probability and likely for 1 mark Accept [0].509 to [0].51 or 50.9% to 51% but not ratio or in words
