Content description VC2M10P01

Mathematics Version 2.0 / Level 10 / Probability

Content description

use the language of ‘if … then …’, ‘given’, ‘of’ and ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language, and describe and interpret situations involving conditional probability; design and conduct simulations using digital tools to model conditional probability and interpret results

Elaborations

using two-way tables and Venn diagrams to understand conditional statements using the language of ‘if … then …’, ‘given’, ‘of’ and ‘knowing that’ and identifying common mistakes in interpreting such language
using arrays and tree diagrams to represent, interpret and compare probabilities of dependent and independent events
using samples of different sizes with and without replacement from a population to identify when the difference in methods becomes negligible
using simulations to gather data on frequencies for situations involving chance that appear to be counterintuitive, such as the three-door problem or the birthday problem
identifying situations in real life where probability simulations are used for decision-making, such as supply and demand of product, insurance risk and queueing
using simulation to predict the number of people likely to be infected with a strain of flu or virus

Code

VC2M10P01

Curriculum resources and support

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