Basic Probability: WJEC GCSE Higher November 2022 Unit 1 Q1

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Higher November 2022 Unit 1 Q1

WJECHigherCurrent spec5 marksBasic Probability Sets

1. In a group of 200 people:

(a) Complete the Venn diagram below to show this information.
The universal set, ε, contains all 200 people. [3]

(b) One of these people is chosen at random.
What is the probability that this person wears glasses? [2]

Scheme	Marks	Comments
		If ‘notches/tallies’ are used, penalise −1 once.
20 AND 105 in correct position	B1	B0 if any other number written in the same section.
Total of 70 for Black Hair	B1	FT ‘their 50’ + ‘their 20’, provided both are non-zero values.
Overall total of 200	B1	Note: The answer below is awarded B1B0B1.

Scheme	Marks	Comments
\(\dfrac{45}{200}\) or \(\dfrac{9}{40}\) or equivalent. ISW	B2	For B2 or B1, the numerator and denominator must be a whole number. FT \(\dfrac{\text{‘their 20’ + ‘their 25’}}{200}\) provided both sections not blank. Award B1 for one of the following: a numerator of 45 in a fraction < 1 FT ‘their 20’ + ‘their 25’, provided both sections are not blank, as a numerator in a fraction < 1 a denominator of 200 in a fraction < 1. An answer of \(\dfrac{45}{200}\) gains B2 regardless of ‘their Venn diagram’. Penalise incorrect notation (e.g. ‘45 in 200’) −1. Note: An answer of \(\dfrac{20}{200}\) is awarded B2. An answer of \(\dfrac{20}{200}\) is awarded B1.