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QLDMath MethodsQuick questions
Unit 1: Algebra, statistics and functions
Quick questions on Counting and probability: QCE Math Methods Unit 1 Year 11
7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is multiplication principle?Show answer
Two events: first in $m$ ways, second in $n$ ways. Combined: $m \times n$ ways.
What is permutations?Show answer
Arrangements where order matters. Choose $k$ from $n$ in order: $P(n, k) = n!/(n-k)!$.
What is combinations?Show answer
Selections where order does not matter. Choose $k$ from $n$: $\binom{n}{k} = n!/(k!(n-k)!)$.
What is permutation vs combination confusion?Show answer
Order matters: permutation. Order does not: combination.
What is forgetting overlap?Show answer
Use addition rule with subtraction.
What is conditional probability inversion?Show answer
$P(A | B) \neq P(B | A)$ in general.
What is treating dependent as independent?Show answer
Without-replacement sampling is dependent.
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