5. Probability

5.01 Language and notation of probability

5.02 Review of probability fundamentals

5.03 Estimating probabilities

INVESTIGATION: Experimental probability and estimating Pi

5.04 Theoretical probability and compound events

5.05 Conditional probability and independent events

5.06 Independent events and data

5.07 Combinations

5.08 Applications to probability

INVESTIGATION: Pascal's triangle

5.09 Pascal's triangle and binomial expansion

Year 11

5.07 Combinations

Interactive practice questions

Evaluate $5!$5!

Easy

< 1min

Evaluate $4!6!$4!6!

Easy

< 1min

Find the value of $\frac{11!}{5!6!}$11!5!6!.

Easy

< 1min

Simplify $\frac{19!}{15!4!}$19!15!4! by identifying common factors of the numerator and denominator.

Easy

1min

Outcomes

1.3.4.1

understand the notion of a combination as an unordered set of 𝑟 objects taken from a set of 𝑛 distinct objects

1.3.4.2

recognise and use the link between Pascal’s triangle and the notation (n r)

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