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CAIE IGCSE Mathematics Core C8.3.1 Calculate the Probability of Combined Events Using Where Appropriate Questions

Practise Core CAIE IGCSE Mathematics by representing combined events with diagrams, multiplying and adding probabilities, and using complements for at-least-one or not-both outcomes.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • Represent combined events with sample-space, Venn or tree diagrams and identify the relevant outcomes.
  • Calculate probabilities of combined events by adding or multiplying branch and outcome probabilities, including with replacement.
  • Use complements or mutually exclusive cases to find probabilities such as at least one, either/or, or not both.

CAIE IGCSE Mathematics Core C8.3.1 Calculate the Probability of Combined Events Using Where Appropriate Questions question 1

[Maximum number: 4]

There are 2 sets of traffic lights on Li's journey to work.
The probability he stops at the first set of traffic lights is 0.4 .
The probability he stops at the second set of traffic lights is 0.7 .

First set of traffic lights

Figure for Question CAIE IGCSE Mathematics Core C8.3.1 Calculate the Probability of Combined Events Using Where Appropriate Questions question 1 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Complete the tree diagram.

Second set of traffic lights

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (b)

(b)

Work out the probability that Li does not stop at both sets of traffic lights.

[ 2 ]
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