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Intermediate November 2019 Unit 1 Q6

WJECIntermediateCurrent spec3 marksBasic ProbabilitySets

6. A group of pupils is asked whether they can speak Welsh, French, both languages, or neither language.

Their answers are shown in the Venn diagram below.
The universal set, \(\varepsilon\), contains all the pupils in the group.

Venn diagram with universal set epsilon and circles Welsh and French: Welsh only 8, both Welsh and French 3, French only 2, outside both circles 1
(a) How many of the pupils cannot speak French? [1]
(b) One pupil from the group is chosen at random.
What is the probability that this pupil can speak both Welsh and French? [2]
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