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

5.01 Language and notation of probability

Interactive practice questions

A coin is flipped. What outcomes could happen?

Black

A

Heads

B

Tails

C

Red

D

Easy

< 1min

A standard six-sided die is rolled.

Easy

1min

If I draw a marble out of the jar without looking, what are all the possible colours the marble might be? Select all the correct answers.

Easy

< 1min

$Uther$ rolled a standard six-sided die.

Easy

< 1min

Outcomes

1.3.1.1

recall the concepts and language of outcomes, sample spaces and events as sets of outcomes

1.3.1.2

use set language and notation for events, including 𝐴̅or 𝐴′ for the complement of an event, A, A ∩ B for the intersection of events A and B, and A ∪ B for the union, and recognise mutually exclusive events

1.3.1.3

use everyday occurrences to illustrate set descriptions and representations of events, and set operations, including the use of Venn diagrams

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