Probability and Discrete Probability Distributions

MA-S1 is worth about 6 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 21 exam-style questions (multiple choice, multi-part, numerical answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

Two fair six-sided dice are rolled. What is the probability that the sum is 7?

A $\frac{1}{12}$
B $\frac{1}{11}$
C $\frac{1}{6}$
D $\frac{7}{36}$

Example 2 · 1 mark · multiple choice

$P (A) = 0.5$ , $P (B) = 0.4$ and $P (A \cap B) = 0.2$ . What is $P (A ∣ B)$ ?

A $0.08$
B $0.2$
C $0.4$
D $0.5$

Example 3 · 1 mark · multiple choice

A discrete random variable has $P (X = x) = \frac{x}{10}$ for $x = 1, 2, 3, 4$ . What is $E (X)$ ?

A $1$
B $2.5$
C $3$
D $30$

Answers and worked solutions appear when you practise these questions.

Probability and Discrete Probability Distributions

Example questions

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