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Probability · Paper 2 — Free Maths AI SL Practice Questions

What this topic covers

This is the topic examiners lean on hardest, because it's the one place they can test whether you actually understand what a number means, not just whether you can press the right calculator button. A GDC will hand you $r$ , a $p$ -value, or a confidence interval in seconds — the marks live in knowing which tool to reach for, reading the question for the tail direction, and finishing with a sentence back in context. Four threads run through it: describing data you already have, inferring about a population you don't, modelling chance for single events, and modelling chance across a whole range of outcomes. They constantly borrow from each other, so treat this as one connected chapter, not four separate ones.

Read the full Statistics and Probability lesson notes →

1MasterySAQ-SBasic probability concepts and rules6 marksPaper 2~9 min

A survey of 200 students at an international school asked about their participation in two extracurricular activities: Model United Nations

(M)

and Debating

(D)

. The results showed that 85 students participate in Model United Nations, 60 students participate in Debating, and 35 students participate in both activities.

(a)

Calculate the probability that a randomly selected student participates in Debating but not Model United Nations. [2 marks]

(b)

Calculate the probability that a randomly selected student participates in neither activity. [2 marks]

(c)

Two students are selected at random without replacement. Given that the first student selected participates in Model United Nations, find the probability that exactly one of the two students participates in Model United Nations. [2 marks]

Solutions

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