Counting techniques in probability (HSC SSCE Mathematics Extension 1): Flashcards
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What does probability measure in an event?
What does probability measure in an event?
It measures the likelihood of an event happening.
What is the Counting Principle in probability?
What is the Counting Principle in probability?
Multiply outcomes of independent events for total possibilities.
What is a factorial in mathematics?
What is a factorial in mathematics?
Product of all whole numbers up to n, denoted n!.
What does nCr represent in combinations?
What does nCr represent in combinations?
It represents combinations where order doesn't matter.
What is the formula for permutations nPr?
What is the formula for permutations nPr?
nPr = n! / (n-r)!, where order matters.
What are independent events in probability?
What are independent events in probability?
Events where outcomes do not affect each other.
What are mutually exclusive events?
What are mutually exclusive events?
Events that cannot occur at the same time.
How do you calculate the probability of an Ace?
How do you calculate the probability of an Ace?
Probability = favorable outcomes / total outcomes.
What are the total outcomes of a coin and a die?
What are the total outcomes of a coin and a die?
Total outcomes = 2 (coin) x 6 (die) = 12 outcomes.
How to calculate the probability of drawing a red ball?
How to calculate the probability of drawing a red ball?
Use P(red) = number of red / total balls in the draw.