Casio FX-82AU PLUS manual Playing dice simulation, Simulation

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Playing dice simulation

Simulation 1

When you roll a pair of normal, 6­sided dice together and add the numbers showing, what is the most likely total?

What you have to do

∙Enter the formula RanInt#(1,6) + RanInt#(1,6) into your calculator. Each time you press pthe calculator will simulate another roll of the dice.

∙Record the number displayed by your calculator each time you press p in the table. Simulate the dice rolls at least 40 times.

Total of the dice Tally Frequency

2

3

4

5

6

7

8

9

10

11

12

Discussion questions

∙What is the most common total when the numbers on a pair of dice are added?

∙Why does this number occur more than other numbers?

∙What are the two rarest totals?

Simulation 2

Andrew and Imran are rolling a pair of normal, 6­sided dice. Andrew thinks that a sum of 7 will occur twice before a sum of 6 and a sum of 8 happens. Imran doesn’t agree. He thinks that a sum of 6 and a sum of 8 before two sums of 7.

Your task is to determine who is right!

What you have to do

Enter the formula RanInt#(1,6) + RanInt#(1,6) into your calculator. When you press pignore any values that are not 6, 7 or 8. Record whether two sums of 7 or a sum of 6 and a sum of 8 happens first. Carry out at least 20 simulations and show your results in the table.

Two sums of 7

A sum of 6 and a sum of 8 (or a sum of 8 and a sum of 6)

Which event occurs first most often; two sums of 7 or a sum of 6 and a sum of 8? Why?

© Sue Thomson and Shriro Australia PTY Limited. This page may be photocopied for classroom use.

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Contents Using the Casio fx-82AU Plus Scientific Calculator Publishing information Contents Comp calculations menus Getting startedSet up information Setting the calculator to degrees or radiansSetting decimal places and scientific notation Fractions in the Math mode Fractions in the Line modeFractions and decimals Answers in different formsSimplifying fractions ReciprocalsFractional indices Negative, fractional indices Powers, math mode and bracketsDetermining powers Powers and rootsUsing the M feature Determining rootsTrigonometry Using inverse trigEntering trigonometric expressions Degrees, minutes and secondsChanging radians into degrees or degrees into radians Changing a decimal to degrees, minutes and secondsRadians to degrees Degrees to radiansTurning frequency on or off Statistics menuStep ExampleStandard deviation Continuing with the example from the previous MeanRandom number function Using Ran#Random number formulas RanInt functionUsing values stored in A, B, C, D, X or Y Using the memoriesIndependent memory M Storing values in A, B, C, D, X or YTips and hints Trouble shooting Calculator is using a comma in place of a decimal pointAnswers to fractions calculations are improper fractions Calculator is frozen 375 AnswersF 2 G 45% 79% 245% 1000% 120.5%075 025 F 205 J 93.75 $84 84.375 $140.25Working with fractions 114 253611 8.55 Remember Fix, scientific notation and normRoots and exponents 16 −121 76 D 216 728 D 128 152 73 D 6 C 1.3 D 6A7 25 D383 Cosθ = Tanθ = Sinθ = Check your calculator settingsTanα = Sinα = Cosα = 28 0 D 51 0 E 66 0 F 49Button pressing sequence for statistics is on pages 12 to StatisticsScores Frequency Scores Frequencies Answers+ 8.1 × 12.7 + 3 + + 8.1 ÷ + π 12 − π × π × 4.3Right hand screen has a value stored in the memory 116.18Express your answer Degrees ⇔ RadiansCorrect to 3 decimal places 9sin0.7 cLogs, natural logs and e 5A 2 B90×10−4 9 Gallipoli Australia and New Zealand joined the First World War1Class Frequency Want to know more? Waiting time investigation Simulation Playing dice simulationSubtracting dice Bingo Game rulesWhat you have to do

FX-82AU PLUS specifications

The Casio FX-82AU PLUS is a powerful scientific calculator designed specifically for students and professionals alike who require advanced mathematical functions and features. Renowned for its reliability and user-friendly interface, this calculator has become a staple in classrooms and workplaces around the globe.

One of the standout features of the Casio FX-82AU PLUS is its extensive range of functions. The calculator supports over 250 functions, making it capable of handling a variety of tasks in mathematics, physics, and engineering. These functions include everything from basic arithmetic operations to more complex calculations such as trigonometry, statistics, and calculus. This versatility makes it an ideal choice for high school students, university undergraduates, and professionals.

The FX-82AU PLUS boasts a natural textbook display, which allows users to view expressions and results in a format similar to how they appear in textbooks. This feature enhances understanding and reduces errors, making it easier for users to verify their calculations. The calculator also incorporates a two-line display, allowing users to see both the input and result simultaneously, fostering a seamless calculation experience.

Additionally, the Casio FX-82AU PLUS is equipped with a quick-function key for calculations, which streamlines the process of obtaining results. This feature, combined with its intuitive layout, enables users to operate the calculator efficiently, whether they are performing statistical analysis or solving complex equations.

Another impressive characteristic of the FX-82AU PLUS is its durability and long battery life. Designed with longevity in mind, it features robust construction that is well-suited for daily use, ensuring that it can withstand the rigors of classroom and fieldwork. The calculator is powered by a solar rechargeable battery combined with a backup battery, meaning users can rely on it in various lighting conditions, minimizing downtime during critical operations.

In terms of design, the Casio FX-82AU PLUS maintains a compact and lightweight profile, making it portable and convenient for students and professionals who are always on the go. Its ergonomic layout ensures comfort during prolonged use, allowing users to navigate through functions without unnecessary strain.

In summary, the Casio FX-82AU PLUS is more than just a calculator; it is a comprehensive tool that enhances mathematical learning and professional efficiency. Its wide range of functions, natural textbook display, and durable design set it apart as a preferred choice in the scientific calculator category, making it an essential tool for anyone engaged in mathematics or related fields.
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