Experimental Probability

We as a class did an experiment. We all got in a group of 2 or 3 and made 10 groups. We all had one person who would roll a fair dice and another person to record all the numbers shown on the dice. The total number of rolls we had to do was 60 but added together all of our rolls would come to 600. Mathematically we expected 100 1s, 2s, 3s, 4s, 5s and 6s. But the end result was far from our predictions because there were answers that were above 100 and below 100. If you were to roll it 6000 times you would mathematically expect 1000 of each number but it would come out different. The higher the number is the closer all the numbers are to the mathematical prediction. We ended up making a graph on google spreadsheet to show our answers. Here is mine that I made.

Table Diagram

We made a table with all the possible outcomes when you roll 2 dice. We added some probability questions to make it that bit harder. Here is my work.

1. All possible outcomes = 36

	1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10
5	6	7	8	9	10	11
6	7	8	9	10	11	12

b) Total most likely = 7

c) The P. of answer b = 6 out of 36 = ⅙ 

d) The P. of getting a total of ten = 3 out of 36 = 1 out of 12

e) The P. of getting an even = ½ 

f) The P. of getting a number lower than 5 = ⅙ 

g) The P. of not a total of eleven = 34 out of 36 

	1	2	3	4	5	6
1	0	1	2	3	4	5
2	1	0	1	2	3	4
3	2	1	0	1	2	3
4	3	2	1	0	1	2
5	4	3	2	1	0	1
6	5	4	3	2	1	0

B) Most likely = 1

C) P. difference of 3 = ⅙ 

D) P. difference of 0 = ⅙