Final answer:
Option a) Each result is equally likely and option b) The sample space has 36 different outcomes are true. Option c) is incorrect because the sample space has 36 outcomes, not 11. Option d) A total roll of 7 is very likely is also true due to the number of combinations that can result in 7.
Step-by-step explanation:
The question is concerned with the outcomes of rolling a green number cube and a red number cube. To determine the total number of possible outcomes, we can multiply the number of outcomes on each cube. Since each cube has 6 faces, and each face has a distinct number (1 to 6), we multiply the possible outcomes of one cube (6) by the possible outcomes of the other (6), giving us a total of 36 different outcomes. Therefore, option b) is true.
Considering that each face of a die is equally likely to be rolled, every pair of numbers rolled on the two cubes is equally likely. Therefore, option a) is also true. Option c) is incorrect because the sample space is not limited to 11 different outcomes; it is indeed 36, as calculated before. Regarding option d), a total roll of 7 is the most likely sum to appear since there are more combinations to make a sum of 7 than any other number (for example, 1+6, 2+5, 3+4, 4+3, 5+2, 6+1), making it 'very likely'.