1) For each experiment below, write down the sample space and determine the size of (number of elements in) the sample space. (a) A family goes to the local SPCA to adopt two pets. Each pet can be either a cat (C), a dog (D), or different small mammal (M). (b) The distance walked on campus by a student over the course of four years is measured. (You may assume the distance is measured in miles and to arbitrary precision.) (c) A six-sided die is rolled until the sum of the rolls is greater than 2. (For example, if you roll a 4 then the \"sum" is already greater than two, but if you roll (1, 1) then the sum is not yet greater than two.) l