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VICMath MethodsQuick questions
Unit 2: Functions, calculus and probability
Quick questions on The binomial distribution (VCE Maths Methods Unit 2)
3short 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 misidentifying $p$?Show answer
$p$ is the probability of "success" as defined. If the question asks for the probability of $k$ failures, redefine $p$ as the failure probability or use $\binom{n}{n-k} p^{n-k}(1-p)^k$.
What is treating dependent trials as binomial?Show answer
Drawing without replacement breaks independence. (For "without replacement" use the hypergeometric distribution, beyond Unit 2 scope.)
What is computing $\binom{n}{k}$ incorrectly?Show answer
$\binom{n}{k} = \binom{n}{n-k}$. CAS calculators give exact values.
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