This document contains 8 practice probability questions involving combinations of events from various contexts like choosing students to represent a school, picking cards from boxes/bags, choosing elements from defined sets, selecting tourists from travel agencies, and a family lucky draw. The questions require listing sample spaces and possible outcomes to calculate probabilities of different events like picking cards with certain labels, choosing elements with specific properties, and gifts going to particular family members.

1. REVISION – PAST YEAR QUESTIONS
CHAPTER 9 : PROBABILITY OF COMBINED EVENTS
1. Three boys and two girls namely Adrian, Bong, Chandran, Diana and Emma
would be chosen to represent their school in Sarawak Mathematics
Carnival. Their teacher wants to select randomly two of them for the
carnival.
Based on the information,
a) List all the possible pairings that are likely to represent the school.
b) By listing down all the possible outcomes of the event, find the
probability that
i. At least a girl is chosen
ii. The participant selected are of different gender

2. 2. Diagram 1 shows two cards in Box K, three cards in bag M and five cards in
bag N.
Box K Bag M Bag N
A card is picked at random from box K. If the card labeled with letter A is
chosen, then another card is picked from bag M. If the card labeled with
number 6 is chosen, then another card is picked from bag N.
a) List a sample space
b) List all the possible outcomes of the events and find the probability
that
i. Both cards are labeled with numbers.
ii. One card is labeled with numbers and the other card is labeled
with a letter.
𝐴 6 𝑃52
𝐴𝐴
𝐴𝐴𝐴

3. 3. Set 𝑃 = {𝑥 ∶ 3 ≤ 𝑥 ≤ 20, 𝑥 𝑖𝑠 𝑎 𝑝𝑒𝑟𝑓𝑒𝑐𝑡 𝑠𝑞𝑢𝑎𝑟𝑒}
Set 𝑄 = {𝐶, 𝑂, 𝑆, 𝑇}
An element is chosen at random from set 𝑃 and set 𝑄.
a) List the sample space
b) By listing down all the possible outcomes of the events, find the
probability
i. An even number and a vowel is chosen
ii. A number that is divisible by 3 or a letter S is chosen.

4. 4. Table 2 shows the number of men and women using a few travel agencies.
Travel Agency Tourist
Men Women
Pelangi Air, P 5 4
First Choice, 𝐹 2 8
Mesra Air, 𝑀 3 10
Table 2
a) A man and a woman are chosen at random respectively. Calculate
the probability that a man from First Choice and woman from Pelangi
Air are picked.
b) Two people are chosen at random respectively. Calculate the
probability that two women from Mesra Air are picked.

5. 5. Diagram 3 shows two boxes, P and Q, containing with cards labeled
numbers and letters.
Box P Box Q
Two cards are picked at random, one card from Box P and another card
from box Q.
a) List all possible outcomes in the answer space.
b) Hence, find the probability of the vents that the cards picked are
i. Labeled with odd number and labeled with a consonant
ii. Labeled with an even number or labeled with a vowel
𝐵 𝐶 3 42𝐴1

6. 6. Diagram 10 shows four cards labeled with letter in Box M and three
numbered cards in box N.
Box M Box N
A card is picked at random from box M and then a card is picked at random
from Box N.
By listing the possible outcomes of the event, find the probability that
a) List the sample space
b) i) A card with a vowel and a card with two-digit numbers are picked
ii) A card with a consonant or a card with an odd number are picked,
7.
𝐴
𝐹
𝑅
𝐼 10
97

7. 8. Katrissa has two brothers and loving parents. In a family event, there are 2
gifts available as a lucky draw and each family member is likely to receive
the gift. Two members from the family are chosen at random to receive the
gift.
a) List the sample space
b) By listing all the possible outcomes of the events, find the probability
that
i. The first gift is for her mother and the second gift is for her
brother.
ii. One of the gifts in for her father.