Basic Probability: Eduqas GCSE Foundation June 2024 Paper 2 Q21

Foundation June 2024 Paper 2 Q21

EduqasFoundationCurrent spec4 marksBasic Probability Sets

21. There are 50 people in a sports club.
Two of the sports the people can take part in are rowing and cycling.

Of these 50 people:

(a) Complete the Venn diagram to show this information. [2]

(b) One person is chosen at random from the sports club.
Find the probability that they take part in rowing but not in cycling. [2]

Scheme	Marks	Comments
A fully correct Venn diagram	B2	If zero is seen in the intersection award no marks. All blank spaces are assumed to be zero B1 for one of the following: 8 and 17 correctly placed 8 correct, Rowing 27 AND Cycling 32 e.g. 11, 16, 16 8 correct, Rowing 27 OR Cycling 32 AND the three values that add to 42 e.g. 11, 16, 15 10, 17, 15 correct and 8 omitted Note: Penalise -1 for use of tallies or dots.

Mark scheme (b)

Scheme	Marks	Comments
\(\frac{10}{50}\) or \(\frac{1}{5}\) oe ISW	B2	FT their Venn diagram provided no sections are left blank or zero. Mark to the candidates advantage. FT \(\frac{\text{‘their 10’}}{50}\) provided ‘their 10’ < 27 B1 for \(\frac{\text{‘their 10’}}{\text{‘their 50’}}\) provided ‘their 10’ < 27 B1 for \(\frac{\text{‘their 10’}}{n}\) provided ‘their 10’ < 27 and ‘their 10’ < \(n\) < 50 Penalise incorrect notation (e.g. ‘10 in 50’) −1.
	(4)