**/*** Rolling Dice **********************************

Betty used her dice-rolling program to investigate how often

matches occur when rolling 3 dice. But it wasn't clear whether

matches or non-matches appear more often. She wrote a program

to roll the dice 1000 times and automatically count the matches.

**************************************************/

This program uses a loop to roll 3 dice 1000 times. Each time, it
automatically decides whether there was a MATCH

in the 3 dice or not. If a MATCH occurs, it automatically adds 1 to
MATCHES, which is a "running total" of the

number of times a match occurred. At the end it divides by 1000 to
give the fraction of times that a match occurred.

Since the result is below 0.5, it means that a person betting on this game
should bet AGAINST a match, rather than

betting for a match.

- Download the program and run it
- Change the program so that it rolls 4 dice instead of 3. Then
change the if.. command so that it correctly

checks for a match in the 4 dice - the command must be considerably longer. Then find out whether

MATCHES or non-matches are more likely with 4 dice. - Change the program to calculate the total of the 4 dice - e.g.
4+3+1+6 = 14 .

Count how often the total is above 15. - Change the program to count how often a 6 occurs - that means any of
the dice could be 6.

Find out whether it is more likely that a 6 appears or that no 6 appears. - Find out how often it happens that all 4 dice are the same.