Unit 1

4 marks · Normal

Consider the sets and .

Let represent the number of elements in set .

(a)

List the elements in .

[1 mark]

(b)

Write down , the number of elements in set .

[1 mark]

(c)

If one element is chosen at random from set , write the probability that it is an even number.

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) \{4, 6\}

(b) 4

(c-alt) All numbers in set A are even, so probability is 1.

Show mark scheme and worked solution

Marking points

A1 (a) · 1 mark · Intersection correctly listed: {4, 6}

B1 (b) · 1 mark · Number of elements in set A is 4

M1 (c) · 1 mark · Check which/all are even numbers in A

A2 (c) · 1 mark · Probability is 1 since all are even.

Worked solution

b) Set A has 4 elements: 2, 4, 6, 8.

c) All elements in A are even. Probability is 4/4 = 1.