Unit 1
4 marks · NormalConsider the sets and .
Let represent the number of elements in set .
List the elements in .
Write down , the number of elements in set .
If one element is chosen at random from set , write the probability that it is an even number.
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.
Show answer
(a) \{4, 6\}
(b) 4
(c) 1
(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
a)
b) Set A has 4 elements: 2, 4, 6, 8.
c) All elements in A are even. Probability is 4/4 = 1.