please answer questions ,6 to 8

Roll on 2nd Die 2 3 5 6 (1, 1 ) (1, 2 ) (1, 3) (1, 4 ) (1, 5 ) (1, 2) 2 3 4 5 2 ( 2, 1 ) (2, 2) (2, 3) (2, 4) (2, 5) (216 3 5 8 (31 1 (3, 2) (3, 3 ) ( 3, 4) ( 3, 5) ( 3, 6) Roll on I die 4 5 7 Q (4, 1 ) (4,2) (4, 3) (4, 4 ) (4, 5 ) (4, 6) 5 8 9 5 ( 5 , 1) ( 5,2) ( 5, 3 ) (5, 9) (5, 5) ( 5, 6 ) 8 10 (6, 1 ) (6, 2) ( 6, 3 ) ( 6, 4 ) ( 6, 5) ( 6, 6) 7 8 9 10 12 Sum of List die of outcomes fav ut come theoretical to sum aw to son Probability (1.1) 1/36 = 0.028 3 ( 1, 2 ) ( 2, 1 ) 2 2 /36 = 0.055 4 ( 1, 3 ) ( 3, 1) ( 2, 2 ) 3 3 / 36 = 0- 0833 5 ( 1, 4 ) ( 4, 1) ( 3, 2) ( 2 , 3 ) 4 4/ 36 = 0.17 ( 1, 5) ( 5, 1). ( 2, 4 ) (4,2) 5 (313 5/ 36 = 0. 1388 7 ( 1 , 6 ) ( 6, 1) ( 2 , 5 ) ( 5, 2 ) ( 4.3) ( 3, 4) 6/ 36 = 0-166 8 ( 2 , 6 ) ( 6 , 2) ( 5 , 3 ) ( 3 , 5 ) 5 (4, 4 ) 5/ 36 = 0-1388 ( 3 , 6 ) ( 6.3 ) ( 4 , 5 ) ( 5, 4 ) .4 4/ 36 = 0.11 10 (4, 6) ( 6, 4) (5, 5) 3 3 / 36 = 0- 0833 ( 5 , 6 ) ( 6, 5 ) 2 2 / 36 = 0-055 12 ( 6, 6 ) 1/ 36 = 0-028 Comparing Theoretical and Relative Probabilities 5. Transfer the column of "Theoretical Probability" from page (2) into the fourth column above (marked "Theoretical Probability") 6. Let us investigate how your relative probabilities (what you actually observed) compare to the theoretical probabilities (what you "should have" observed). Empirical (Relative) Theoretical What sum occurs most often? (Highest probability) Find P(6, 7, or 8) What two sums occur less requently than others? (Smallest probability) Find P(rolling a sum less than 5) Find P(rolling a sum greater than 9) 7. Make a summary statement of how your empirical probabilities compared to the theoretical probabilities overall. 8. How do you think your empirical probabilities would compare to the theoretical probabilities if you had rolled the dice 500 times instead of just 96 times? What about 1,000 times? 1,000,000 times? (Anyone interested in trying this @ ?) What law is this an illustration of