1. List the elements of each of the following sample spaces:

a. Thesetofintegersbetween4and40divisibleby7

b. ThesetS={x|x2 -7x+12=0}

c. The set of outcomes when a coin is tossed until a tail or three heads appear

d. ThesetS={x|xisaCanadianprovince}

e. ThesetS={x|3x90andx<1}.

2. UsetherulemethodtodescribethesamplespaceSconsistingofallpointsinthefirst quadrant inside a circle of radius 4 with:

a. thecenterattheorigin

b. the center at a point with coordinates (4, 4).

3. An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S by using the rule method.

4. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and the events A = {copper, sodium, zinc}, B = {sodium, nitrogen, potassium}, C = {oxygen}. List the elements of the sets corresponding to the following events:

a. A'

b. AC

c. (AB')C'

d. B'C'

e. ABC

f. (A'B')(A'C).