📐 KSSM · Form 4 · Age 16

Probability of Combined Events

151 exam-format practice questions · Mathematics, Form 4 · Free to start

Lesson overview

This lesson explores the probability of combined events within the Form 4 Mathematics syllabus. Students will learn to calculate probabilities using tree diagrams for dependent and independent events. The scope includes identifying mutually exclusive events where outcomes cannot occur simultaneously. Learners also practice finding the union of two events using the addition rule formula. Additionally, the curriculum covers conditional probability notation and calculations. These skills form the foundation for more advanced statistical analysis in later forms. Understanding these concepts allows students to model real-world scenarios involving multiple stages or choices accurately. Students often confuse dependent with independent events leading to incorrect multiplication steps. Many struggle with applying the correct formula for mutually exclusive versus non-mutually exclusive events. Misinterpreting tree diagram branches is another common error that affects final answers. Mastering this topic helps students avoid losing marks in structured questions and objective tests. It builds logical reasoning skills essential for higher-level mathematics and scientific studies. By clarifying these distinctions, learners can approach exam problems with confidence and precision. This preparation ensures they handle complex probability questions effectively without relying on guesswork.

Try these questions

Q1. A fair coin is tossed twice. Let A be the event of getting a Head on the first toss, and B be the event of getting a Tail on the second toss. Which of the following represents the sample space for the combined event A ∪ B?

A.{HH, HT, TH}

B.{HT}

C.{HH, HT, TH, TT}

D.{HT, TH}

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Q2. Given two events P and Q such that P(P) = 0.4, P(Q) = 0.5, and P(P ∩ Q) = 0.2. What is the value of P(P ∪ Q)?

A.0.9

B.0.7

C.0.3

D.0.1

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Q3. A bag contains 4 red marbles and 6 blue marbles. Two marbles are drawn at random, one after another, without replacement. What is the probability that both marbles are red?

A.2/15

B.4/25

C.1/5

D.8/45

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