Applications to Probability (VCE SSCE Mathematical Methods): Flashcards

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Applications to probability
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Probability formula for equally likely outcomes

P( ext{event}) = rac{ ext{favorable}}{ ext{total}}

When do counting methods work for probability?

When all outcomes are equally likely

When to use arrangements in probability

When order of items matters

When to use selections in probability

When order doesn't matter

Step 1 of probability counting method

Find total number of possible outcomes (denominator)

Step 2 of probability counting method

Count favorable outcomes (numerator)

How to count independent selections

Multiply the numbers together

How to solve 'at least' probability problems

Add together the different cases

Complementary events formula for 'at least one'

P(extatleastone)=1P(extnone)P( ext{at least one}) = 1 - P( ext{none})

Valid range for probability values

Between 0 and 1

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