Mathematics / Year 10 / Statistics and Probability / Chance

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Curriculum content descriptions

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence (ACMSP246)

Elaborations
  • recognising that an event can be dependent on another event and that this will affect the way its probability is calculated
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Independence (Experiments)

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12 direct matches to ACMSP246 | 1 other related resources

Online

reSolve: Probability - Forensic Investigations

  • TLF-IDM025317

This lesson investigates real-world applications of probability. Students examine real-world case studies of probability being applied in misleading ways. They assess and explain the flaws in the mathematical methodology used. There is also an emphasis on accurate and inaccurate ways of communicating mathematical concepts ...

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Video

How to win at rock-paper-scissors

  • TLF-IDA002706

Find out how to win at rock-paper-scissors using game theory. According to this theory, how should you decide on your next move when you play multiple rounds? See if you can apply this theory in multiple rounds of rock-paper-scissors with someone. Did you win? |Why would this theory be useful in economics?

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Online

Conduct chance experiments: Year 10 – planning tool

  • TLF-IDA003229

This planning resource for Year 10 is for the topic of Conduct chance experiments. Students design and conduct chance experiments relating to conditional probability using digital simulation tools to conduct multiple trials. Students are expected to interpret problems and describe their interpretations.

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Downloadable

Poker machines

  • TLF-IDA003644

In this lesson, students design a poker machine payout system which both guarantees a return of 85% of money invested, while also being fun and engaging for the player. Students then simulate these machines to test the ‘actual’ or real world payout of such machines, taking note of their feelings when playing. Ultimately, ...

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Downloadable

Lotto mania

  • TLF-IDA003647

In this lesson, students will simulate a lottery, and perform calculations to determine the small probability of their exact numbers being drawn from a lottery. They will also consider the financial investment that would be required to guarantee a lottery win, ultimately determining that such a strategy would end up costing ...

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Downloadable

How does gambling on the races work?

  • TLF-IDA003645

This lesson simulates the operation of a bookmaker to illustrate to students how easy it is to get swept up in the excitement of a race, and to show how the bookmakers are always coming out having made a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials ...

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Downloadable

Lucky lottery

  • TLF-IDA003656

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Downloadable

Sports betting

  • TLF-IDA003658

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

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Downloadable

Multi-bets

  • TLF-IDA003643

In this lesson, students will calculate both the payout and the odds for various multi-bets, demonstrating how even this increased payout does not match the probability of achieving such a bet, and therefore the risk and appeal of the bet should be weighed up. The lesson is outlined in detail including NSW curriculum links, ...

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Downloadable

Easter Show games of chance

  • TLF-IDA003646

In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...

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Downloadable

Should you swap?

  • TLF-IDA003649

This lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...

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Downloadable

Two-up - The fairest game of all?

  • TLF-IDA003642

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

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Online

TIMES Module 36: Number and Algebra: formulas - teacher guide

  • TLF-IDM009037

This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.

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