1. Let a non-empty set and A. Shows that A={, A, A ,} is a -algebra.
2. Consider the experiment of rolling a die. Determine:

a)the sample space

b)a sigma algebra containing the event {1,6}

3.The experiment consists of a couple having two children. Determine:

a)the sample space

b)a -algebra

4.Consider the experiment of rolling a die. Determine:

a)the sample space

b)indicate if A={,,{1},{2,3,4,5,6},{2},{1,3,4,5,6}} is a sigma algebra