1. Students are investigating a game with two non-standard fair dice. One die is labelled 1, 1, 1, 5, 5, and 5 and the other die 2, 2, 2, 6, 6, and 6. Both dice are rolled and the sum of the numbers on the upper faces determined. To record the results a disc is placed above the cube with the same number. Before playing, a number of students consider which of the following distributions is most likely to occur after 24 rolls, and explain why. - Guy: As the number of tosses increases, the outcome will be larger. So, choice C. I Helen: Choice B, because the probabilities of 3, 7 and 11 are equal. 0 Li: Choice A, the distribution will not come out as shown in choices B and C. 0 Ali: Choice B, as in experimental probability the outcomes cannot be foreseen. I Fi: Since the distribution will be disorderly, the answer is choice A. None of the student offerings have both the correct solution and justification. Explain what is wrong with each student's thinking, clearly state the correct response and provide mathematically correct reasoning as to why this is correct