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VICMath MethodsQuick questions

Unit 1

Quick questions on Probability and counting: VCE Math Methods Unit 1 Year 11

6short 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 are permutations?
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A permutation is an arrangement of items in order. The number of ways to arrange nn distinct items in order is:
What are combinations?
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A combination is a selection without regard to order. The number of ways to choose kk items from nn (order does not matter) is:
What are conditional probability backwards?
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P(A∣B)P(A | B) is generally not equal to P(B∣A)P(B | A). Bayes's theorem relates the two.
What is q1?
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A PIN uses 44 digits from 00 to 99 with no repeats. How many are possible? [2 marks]
What is q2?
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Events AA and BB have P(A)=0.5P(A) = 0.5, P(B)=0.4P(B) = 0.4, P(A∩B)=0.2P(A \cap B) = 0.2. (a) Find P(A∪B)P(A \cup B). (b) Are AA and BB independent?
What is q3?
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A bag has 44 red and 66 green discs. Two are drawn without replacement. Find the probability both are green.

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