Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps to improve my understanding of the problem. Thank you! Why is Mere correct? How do you describe a sample space?

de M r '3 paradox. Constructing a sample space for a random experiment can be tricky leading to mistakes or \"paradoxes\"! One such \"paradox\" is due to de Mr, a 17th century French gambler and amateur mathematician. He considered the experiment of rolling three 6sided dice. (a) Describe the sample space for this random experiment. (b) de Mr argued that the number of outcomes that sum to 11 is equal to the number that sums to 12 since Sum: 11: {6,4,1}, {6,3,2}, {5,5,1}, {5,4,2}, {5,3,3}, {4,4,3}, Sum: 12: {6,5,1}, {6,4,2}, {6,3,3}, {5,5,2}, {5,4,3}, {4,4,4}. Is de Mr's conclusion correct? Justify your