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Foundation June 2018 Paper 2 Q18

EduqasFoundationCurrent spec4 marksBasic ProbabilitySets

18. \(\varepsilon = \{2, 3, 4, 5, 6, 7, 8, 9\}\)

P = {even numbers}
Q = {numbers divisible by 3}

(a) Complete the Venn diagram below. [2]
Diagram: Venn diagram with universal set and two overlapping circles P and Q. 4 and 8 are in P only, 9 is in Q only, and 7 is outside both circles
(b)

A number is chosen at random from the numbers 2 to 9.

What is the probability that the number chosen is odd and not divisible by 3? [2]