Casio FX-82AU PLUS manual Subtracting dice Bingo, Game rules, What you have to do

Page 34

Subtracting dice Bingo

The game rules

The values called in this game of bingo will be determined by subtracting the numbers showing on a pair of normal 6­sided dice. The subtraction willalways be the bigger value subtract the smaller value. There will be no negative values.

Players choose 9 numbers. They can be all the same, mostly the same or mostly different. However, if a player chooses to have all nine numbers the same, that number must be called 9 times for the player to win. Players can only cross out one of their numbers each time a number is called.

The first player to have all their numbers crossed out is the winner.

Your challenge is to determine the best set of 9 numbers to use in this game.

What you have to do

Enter the formula “the absolute value of [RanInt#(1,6) − RanInt#(1,6)]” into your calculator by pressing the following sequence of buttons: eQ.1SHIFT)6)Q.1SHIFT)6)p

Each time you press panother simulation value will be displayed.

Simulate the roll of the dice at least 50 times and record your results in the table.

Number rolled Tally Frequency

0

1

2

3

4

5

What set of 9 numbers do you think are the best set for winning this game?

Write a paragraph to explain the reason for your choice.

In your group, play the game with a real pair of dice. Which group member’s set of numbers wins the most frequently?

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

34

Image 34
Contents Using the Casio fx-82AU Plus Scientific Calculator Publishing information Contents Getting started Comp calculations menusSetting the calculator to degrees or radians Set up informationSetting decimal places and scientific notation Fractions and decimals Fractions in the Line modeFractions in the Math mode Answers in different formsReciprocals Simplifying fractionsFractional indices Powers, math mode and brackets Negative, fractional indicesUsing the M feature Powers and rootsDetermining powers Determining rootsEntering trigonometric expressions Using inverse trigTrigonometry Degrees, minutes and secondsRadians to degrees Changing a decimal to degrees, minutes and secondsChanging radians into degrees or degrees into radians Degrees to radiansStatistics menu Turning frequency on or offExample StepContinuing with the example from the previous Mean Standard deviationRandom number formulas Using Ran#Random number function RanInt functionIndependent memory M Using the memoriesUsing values stored in A, B, C, D, X or Y Storing values in A, B, C, D, X or YTips and hints Calculator is using a comma in place of a decimal point Trouble shootingAnswers to fractions calculations are improper fractions Calculator is frozen Answers 375075 025 F 205 J 93.75 $84 84.375 45% 79% 245% 1000% 120.5%F 2 G $140.25114 2536 Working with fractions11 8.55 Fix, scientific notation and norm Remember16 − Roots and exponents121 76 D 216 728 D 128 152 73 D 6 C 1.3 D 6A7 25 D383 Tanα = Sinα = Cosα = Check your calculator settingsCosθ = Tanθ = Sinθ = 28 0 D 51 0 E 66 0 F 49Scores Frequency StatisticsButton pressing sequence for statistics is on pages 12 to Scores Frequencies AnswersRight hand screen has a value stored in the memory + π 12 − π × π × 4.3+ 8.1 × 12.7 + 3 + + 8.1 ÷ 116.18Correct to 3 decimal places Degrees ⇔ RadiansExpress your answer 9sin0.7 c5A 2 B Logs, natural logs and e90×10−4 9 Australia and New Zealand joined the First World War1 GallipoliClass Frequency Want to know more? Waiting time investigation Playing dice simulation SimulationGame rules Subtracting dice BingoWhat you have to do