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Probability Simulation Programs |
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About the Probability Simulation Programs The context in which the programs are related stem from the MEP lesson plans and practice book material for the Primary Course. These programs have been designed in order to allow teachers and students to simulate probability experiments over a long period of trials. The number of trials, n, for each experiment can be changed as desired and the relative frequency of each outcome is also calculated. The programs calculate the outcomes in a matter of seconds which allows the experiments to be repeated in full a number of times quickly. Each program follows the same basic set up. Decide how many times you want the experiment to be conducted and type it in as your value of n. Then simply click "go" and the program does the rest. If you want to see the relative frequency for each event, just click the red area labelled relative frequency to reveal it. The relative frequencies will then be automatically hidden again for the results of the next simulation. Unfortunately, these programs will only work with a fairly up to date version of Java. If you find the programs do not work on your machine then you can click here to download the latest version of Java Runtime Environment (JRE).
Program 1 - Marbles in a Bag (Y5Lp_131_5) |
This program simulates the outcomes for when one marble is selected at random from a bag containing 4 white marbles, 1 red and 5 blue. The marble is replaced each time after selection. To access this program click here.
Program 2 - Generalisation of Marbles in a Bag (Y5Lp_131_5g) |
This program does exactly the same as program 1 above, except that it allows you to generalise the contents of the bag. To do this click on "generalise" and then select the colour and number of each type of marble that you want in the bag. The program then simulates the experiment with your chosen contents. To access this program click here.
Program 3 - Passengers on a Bus (Y5Lp_131_6) |
This program simulates the outcomes for the order of passengers getting onto a bus. Getting on the bus are 3 Americans, 4 British and 1 Greek and the program simulates the different orders that this combination of people get on the bus. To access this program click here.
Program 4 - Children entering a Museum (Y5Lp_132_7) |
This program simulates the outcomes for the order of a group of children entering a museum. In the group there are 12 girls and the ratio of girls to boys is 3:2 The program simulates the different orders that this combination of people enter the museum. To access this program click here.
Program 5 - Marbles in a Bag (2) (Y5Lp_132_8) |
This program simulates the outcomes for when one marble is selected at random from a bag containing black and white marbles. There are 50 marbles in the bag and the ratio of white to black is 4:1. The marble is replaced each time after selection. To access this program click here.
Program 6 - Tossing a Coin (Y5Lp_133_4) |
This program simulates the outcomes for when a coin is tossed repeatedly. To access this program click here.
Program 7 - Throwing a Dice (Y5Lp_133_6) |
This program simulates the outcomes for when a dice is thrown repeatedly. To access this program click here.
Program 8 - Marbles in a Box (Y5Lp_134_2) |
This program simulates the outcomes for when one marble is selected at random from a box containing blue, yellow and pink marbles. There are 20 marbles in the box and the ratio of blue to yellow to pink is 5:2:3. The marble is replaced each time after selection. To access this program click here.
Program 9 - Tossing two Coins (Y5Lp_134_5) |
This program simulates the outcomes for when two coins are tossed together repeatedly. To access this program click here.
Program 10 - Tossing three Coins (Y5Lp_134_6) |
This program simulates the outcomes for when three coins are tossed together repeatedly. To access this program click here.
Program 11 - Marbles in a Box (2) (Y5Lp_136_2) |
This program simulates the outcomes for when one marble is selected at random from a box containing blue, yellow and pink marbles. There are 36 marbles in the box and the ratio of blue to yellow to pink is 8:6:4. The marble is replaced each time after selection. To access this program click here.
Program 12 - Throwing two Dice (Y5Lp_136_4) |
This program simulates the outcomes for when two dice are thrown together repeatedly. To access this program click here.
Program 13 - Spinner (Y5Lp_137_5) |
This program simulates the outcomes for when a spinner numbered 1 to 8 is spun repeatedly. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 14 - Spinner (2) (Y5Lp_137_6) |
This program simulates the outcomes for when a spinner shaded in four different colours is spun repeatedly. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 15 - Children's Draw (Y5Lp_138_6) |
This program simulates the outcomes for a draw between 7 children, each with an equal chance of winning. To access this program click here.
Program 16 - Spinner (3) (Y5Lp_138_7) |
This program simulates the outcomes for when a spinner numbered 1 to 20 is spun repeatedly. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 17 - Lottery Draw (Y5Lp_139_3) |
This program simulates the outcomes for a lottery draw involving 5 numbers, where for each draw, two numbers are drawn. To access this program click here.
Program 18 - Lottery Draw(2) (Y5Lp_139_5) |
This program simulates the outcomes for a lottery draw involving 4 numbers, where for each draw, two numbers are drawn. To access this program click here.
Program 19 - Spinner (4) (Y5Lp_139_6) |
This program simulates the outcomes for when a spinner labelled A to H is spun repeatedly. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 20 - Spinner (5) (Y5Lp_143_4a) |
This program simulates the outcomes for when a spinner coloured red,green and white is spun repeatedly. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 21 - Spinner (6) (Y5Lp_143_4b) |
This program simulates the outcomes for when a spinner coloured red, green and white is spun repeatedly. However, the sectors of the spinner are not of equal size. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 22 - Spinner (7) (Y5Lp_143_6) |
This program simulates the outcomes for when a spinner shaded in four different colours is spun repeatedly. However, the sectors of the spinner are not of equal size. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 23 - Pyramid Dice (Y5Lp_144_3) |
This program simulates the outcomes for when a dice numbered 1 to 5 and shaped as a square-based pyramid is rolled repeatedly. To access this program click here.
Program 24 - Spinner (8) (Y5Lp_144_4) |
This program simulates the outcomes for when a spinner numbered 1 to 6 is spun repeatedly. However, the sectors of the spinner are not of equal size. (Please note: to spin spinner more than once, enter your value for n and then click "fast go". However, for values of n over 20, the program can take quite a while to generate the results). To access this program click here.
Program 25 - Maze Game (Y5Lp_144_5) |
This program simulates the outcomes for a maze game where a ball is dropped in the top and you have to guess where it will come out at the bottom. To access this program click here.
Program 26 - Pyramid Dice(2) (Y5Lp_144_6) |
This program simulates the outcomes for when a dice numbered 1 to 7 and shaped as a hexagon-based pyramid is rolled repeatedly. To access this program click here.
Program 27 - Picking Cards (Y6Lp_59_4) |
This program simulates the outcomes for selecting a card from a standard deck of 52 playing cards. The program records the colour,suit and value of each card selected. To access this program click here. |