Home / CIE iGCSE Maths C8.1 Introduction to probability Exam Style Practice Questions- Paper 3

CIE iGCSE Maths C8.1 Introduction to probability Exam Style Practice Questions- Paper 3

Question

A bag contains $6$ red balls, $4$ green balls and $2$ blue balls.
Zia takes a ball from the bag at random.
The diagram shows a probability scale.

Which arrow shows the probability that,

(a) Zia takes a green ball

(b) Zia takes a yellow ball

(c) Zia does not take a blue ball.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C8.1 Introduction to probability
▶️ Answer/Explanation

First, find the total number of balls: $6 + 4 + 2 = 12$. The scale has 6 intervals between $0$ (A) and $1$ (G), meaning each interval is $\frac{1}{6}$.

(a)
Probability of green = $\frac{4}{12} = \frac{1}{3} = \frac{2}{6}$. This corresponds to the second mark after $0$.
✅ Answer: C

(b)
There are no yellow balls, so the probability is $0$.
✅ Answer: A

(c)
Probability of NOT blue = $1 – \text{Probability of blue} = 1 – \frac{2}{12} = \frac{10}{12} = \frac{5}{6}$. This corresponds to the fifth mark.
✅ Answer: F

Question

A bag contains red, yellow, blue and green cards.
The table shows the probability of taking a red card and a yellow card.
The probability of taking a blue card or a green card is in the ratio blue : green = $5:2$.

Complete the table for blue and green.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C8.1 Introduction to probability
▶️ Answer/Explanation

The total sum of all probabilities must equal $1$.
Probability of (Blue + Green) = $1 – (0.53 + 0.19) = 1 – 0.72 = 0.28$
Split this probability into the ratio $5:2$ (which is $7$ parts total).
$1 \text{ part} = \frac{0.28}{7} = 0.04$
Blue = $5 \times 0.04 = 0.20$
Green = $2 \times 0.04 = 0.08$
✅ Answers: Blue = $0.20$, Green = $0.08$

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