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H2 Math Summary Notes
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Pure Mathematics
Inequalities1 Question 
Graphing Techniques7 Questions

Transformation of Graphs2 Questions

Functions6 Questions

APGP & Recurrence Relations6 Questions

Sigma Notation6 Questions

Techniques of Differentiation2 Questions

Applications of Differentiation9 Questions

Maclaurin Series2 Questions

Techniques of Integration6 Questions

Applications of Integration4 Questions

Differential Equations2 Questions

Vectors11 Questions

Complex Numbers6 Questions

StatisticsPermutation and Combinations7 Questions

Probability5 Questions

Discrete Random Variable4 Questions

Binomial Distribution5 Questions

Normal Distribution7 Questions

Sampling and Estimation8 Questions

Hypothesis Testing6 Questions

Correlation and Linear Regression5 Questions
Lesson 16,
Question 5
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Worked Example 5
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Ava and Barry play a game containing one green marble and two red marbles. Each player intron randomly selects a marble from the bag, notes its colour and replaces it. Ava wins the game if she selects a green marble. Barry wins the game if he selects a red marble. Ava starts the game.
(a)
Find the probability that Ava wins on her first turn.
(b)
Find the probability that Barry wins on his first turn.
(c)
Find the probability that Ava wins in one of her first three turns.
(d)
Find the probability that Ava eventually wins.
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