Page 41 - Pra U STPM 2022 Penggal 3 - Maths (T)

Mathematics Semester 3 STPM Chapter 2 Probability

STPM PRACTICE 2

1. Three sets A, B and C are given by
A = {k, d, m, a}
B = {l, o, w}
C = {h, b, v, f, y}
If one letter is chosen from among the sets A, B or C, how many ways are there?

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2. There are 100 customers in a store, 20 of these customers have both coffee and tea, 60 have coffee and
35 have tea. How many customers have coffee or tea?
3. A password consists of three symbols. If the first symbol is a character, the second and the third 2
symbols are digits, how many three-symbol passwords could be formed?

4. APEC stands for Asia Pacific Economic Cooperation. How many different permutations are possible
for the set of letters {A, P, E, C}?
5. There is a picture taking session in a birthday party. 6 people line up for a picture. How many different
ways can they be arranged from the left to the right?
6. Evaluate each of the following permutations.
(a) 7 P 2 (b) 10 P 6 (c) 4 P 4 (d) 20 P 1
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(e) C 3 (f) 12 C 12 (g) 7 C 6 (h) 13 C 0
7. There are first, second and third prizes to be awarded to 12 participants in a singing contest. How
many ways can the prizes distributed among the participants?
8. A badminton team has 5 players. How many ways can a coach select the first and second singles?

9. In how many different ways can the 25 committee members of a sports club choose a president, a
vice-president, a secretary, and a treasurer?

10. Find the number of permutations from arranging 2 yellow cards, 3 red cards and 1 green card.
11. A set has 8 elements. How many subsets of the set can be formed such that each subset consists of 5
elements?

12. A teacher prepares a list of 9 questions. A test paper consists of 4 questions from the list. How many
test papers can be set?

13. How many different ways can 4 kings be chosen from a standard deck of 52 playing cards?
14. A fair dice is rolled. If the events of interest are:
(i) Event A of getting a number three
(ii) Event B of getting a prime number
(a) Describe the sample space of this experiment.
(b) Determine the probabilities of P(A) and P(B).

15. You spin once on the spinner as shown on the right:
Find the probability of each of the following event. 1 3
(a) Spin a number 1. 2 1
(b) Spin a number 3. 2 1
(c) Spin an even number. 1 4
(d) Spin a number larger than 4.

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02 STPM Math(T) T3.indd 109 28/10/2021 10:21 AM