[PDF] Home Learning Task 7 – 9 Chance – Likelihood of events

Calculator Notes for the Casio fx-9750G Plus and CFX-9850GC Plus

56 Discovering Algebra Calculator Notes for the Casio fx-9750G Plus and CFX-9850GC Plus ©2007 Key Curriculum Press Note 10A • List of Random Integers (continued) fx-9750G Plus and CFX-9850GC Plus The Function Memory screen shows what you have stored in each function key Press twice to return to the Run screen, or press to go elsewhere

SAMPLE - Cambridge University Press

be achieved using randInt(lowup, , n), where low is the lowest integer, upis the largest Casio ClassPad 300 series TI-Nspire Chapter 8 qxd 7/22/08 3:07 PM Page 296

fx-300ES PLUS Users Guide Eng - Support Home CASIO

• In no event shall CASIO Computer Co , Ltd be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it Moreover, CASIO Computer Co , Ltd shall not be liable for any claim of

La fonction Random de la calculatrice

Casio Texas (sauf TI 89, 92, Voyage) Int(1+6*Ran#) EXE Appuyer plusieurs fois sur EXE int(1+6*Rand) ENTER Appuyer plusieurs fois sur ENTER Int désigne la partie entière du nombre Cette fonction est obtenue par : Casio Texas OPTN Ł NUM MATH Ł NUM Texas (TI 89, 92, Voyage) Texas « francisées » iPart(1+6*Rand()) EXE

Day 1 Activity - imathesis

f) Generate ten random numbers, (TI84, Casio fx9750) g) Describe how you may take a ^systematic _ sample? h) Describe how you may take a ^cluster sample? i) Describe how you may take a ^stratified _ sample? Instructions: TI 84: MATH, PRB, RandInt(from, to, how_many) Casio fx-9750GII: RUN-MAT, OPTN, PROB, RAND,Int (from, to, how_many) Example:

TI-30XS MultiView™ and TI-30XB MultiView™ Scientific Calculator

2: nCr 2: randint( 2: Å 2: R ´PÁ(3: 3: Æ 3: P ´ Rx(4: r 4: P ´Ry(5: g 6: ´DMS CLEAR FORMULA 1: Clear L1 1: Add/Edit Frmla 2: Clear L2 2: Clear L1 Frmla 3: Clear L3 3: Clear L2 Frmla 4: Clear ALL 4: Clear L3 Frmla 5: Clear ALL Ls 1: L1 2: L2 3: L3

Programming with TI-Nspire

With the command randInt(1,6) a random number between 1 and 6 is given We can use this command to simulate a throw of a dice and the command is found in Catalog : In the second line we define our local variable as a := randInt(1,6) and press enter to insert a line: Our program is almost finished

Home Learning Task 7 – 9 Chance – Likelihood of events

generator on your CAS calculator TI Nspire, CASIO or an excel spreadsheet to simulate rolling the 2 dice, 50 times To do this you would need to (i) Define variables: (ii) Complete the entry line: randInt() as Record your results for 50 trials below:

Algorithmique - AlloSchool

randInt(0,100)→M 1→C Prompt N while N6= M if N

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Home Learning Task 7 - 9 Chance - Likelihood of events

Dice Differences Task Worksheet

Mathematical language: equally likely, chance, event, trial, frequency, long range probability, sample space

Materials needed:

two dice per pair. One 6-sided die per player. Game: Player A and Player B both roll a die at the same time. Decide who is player A and who is

Player B.

Player A wins if the difference between the two numbers rolled is 0, 1 or 2. Player B wins if the difference between the two numbers is 3, 4, or 5.

Play this game 10 times using 2 dice and record your results in the table below: Player Tally of wins Total wins

Player A-

(Difference between the numbers rolled 0, 1, or 2)

Player B-

(Difference between the numbers rolled 3, 4 or 5)

Long range Probability:

Is this game fair? Do you have enough evidence to make a conclusion? Mathematicians prefer to have a lot of data to make more informed decisions. So we are going to look at data from 50 trials:

Data from 50 trials

OPTIONS:

1) Share the data from 4 other pairs in your class and create a new table for 50 trials

2) Conduct an Electronic simulation of 50 trials. For this you may use the random number

generator on your CAS calculator TI Nspire, CASIO or an excel spreadsheet to simulate rolling the 2 dice, 50 times. To do this you would need to (i) Define variables: (ii) Complete the entry line: randInt() as .. Record your results for 50 trials below: Player Tally of wins Total wins

Player A

(Difference between the numbers rolled 0, 1, or 2)

Player B

(Difference between the numbers rolled 3, 4 or 5)

Reflection:

1. Is this game fair?

2. Give detailed reasons to back up your answer.

3. Complete the sample space that shows all possible outcomes when 2 dice are rolled:

FIRST DIE

SECOND DIE

1 2 3 4 5 6

1 (1,1)

2 3 4 5 6

4. Complete the sample space that shows the differences between the two numbers when the two

dice are rolled.

FIRST DIE

SECOND DIE

1 2 3 4 5 6

1 0 2 3 4 5 6

From the diagram, complete the table below:

Difference 0 1 2 3 4 5

Frequency

Who wins?

A or B

Questions:

5. How often do you expect A to win? (Show workings). State this as a probability.

6. How often do you expect B to win? (Show workings). State this as a probability.

7. Is this game fair? Why or Why not?

Extending Prompt:

Creating a

fair game Redesign the above game so that it is fair to both players. You need to state the rules of the game clearly. You must supply detailed evidence to show your game is fair.quotesdbs_dbs12.pdfusesText_18