Basic Probability: WJEC GCSE Intermediate November 2021 Unit 2 Q11

Intermediate November 2021 Unit 2 Q11

WJECIntermediateCurrent spec4 marksBasic Probability Pie Charts

11. A company has two sites.
One is in North Wales and the other is in South Wales.

The pie charts below show the distribution of its 96 part-time staff and its 150 full-time staff.

A person is chosen at random from the company’s 246 staff members.
What is the probability that this person works at the site in North Wales? [4]

Mark scheme

Scheme	Marks	Comments
(number of part-time in North Wales =) \(\dfrac{90}{360}\times 96\) OR (number of full-time in North Wales =) \(\dfrac{144}{360}\times 150\)	M1	Or equivalent
(number of part-time in North Wales =) 24	A1	Answers may be seen on the diagram. An answer (or sight) of 24 implies M1.
(number of full-time in North Wales =) 60	A1	An answer (or sight) of 60 implies M1.
(Probability from North Wales =) \(\dfrac{84}{246}\) or equivalent ISW	A1	FT (‘their 24’ + ‘their 60’) /246 provided M1 gained and (‘their 24’ + ‘their 60’) < 246. Penalise incorrect notation −1. e.g. ‘84 in 246’.