Problem: Sample Space

Question. 1

IfS=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]andA=[2, 3, 4, 7, 9],B=[0, 1, 4, 5, 6],C=[4, 5, 6, 8], andD=[3, 7, 8], list the elements of the sets corresponding to the following events:

a.AC; b.AB;

c.Cc;

d.(CcD)B;

e.(SC)c;

f.ACDc.

Problem: Tree Diagram Car Windows

Question 2

A family has three cars, all with electric windows. Car A's windows always work. Car B's windows work74.00%of the time, and Car C's windows work96.00%of the time. The family uses Car A16.00%of the time; Car B44.00%of the time; and Car C the rest of the time. You observe the family choosing their car on a certain day.

Draw a tree diagram for this experiment. Firstly, the family decide which car to drive (draw three branches), then the window either works or doesn't (two branches). Include at least 4 digits following the decimal point in your answers.

1. Compute the probability that windows will work.
2. What is the likelihood that the family will choose car B and the windows won't work?
3. Find the probability that the family will choose car A and the windows will work or they will choose car B and the windows won't work.