Multi-Stage Experiments (VCE SSCE Mathematical Methods): Flashcards

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Multi-Stage Experiments
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Multi-stage experiments

Experiments occurring in sequential steps/stages

Tree diagrams in multi-stage experiments

Visual way to list all possible outcomes using branches

What each complete path in a tree diagram represents

One possible outcome

Sample space for tossing two coins

{HH, HT, TH, TT} - 4 outcomes

Effect of each additional coin on outcomes

Doubles the number of possible outcomes

Probability formula for equally likely outcomes

favourable outcomes / total outcomes

Number of equally likely outcomes for two dice

36 outcomes

Number of outcomes for three coin tosses

8 equally likely outcomes

General formula for outcomes with nn coins

2n2^n outcomes

Method for 'at least one' probability problems

Use complement: 1Pr(none)1 - \text{Pr}(\text{none})

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