Chapter 3, Problem 155LM

a.

To determine

List the sample points in the experiment.

b.

To determine

Compute the probability of the sample points.

c.

To determine

Compute $P\left(A\right)\text{and }P\left(B\right)$.

d.

To determine

List the sample points in $A^c,B^c,A\cap B,\text{and }A\cup B$.

e.

To determine

Compute $P\left(A^c\right),P\left(B^c\right),P\left(A\cap B\right),P\left(A\cup B\right),P\left(A|B\right),\text{and}P\left(B|A\right).$

f.

To determine

Check whether the events are mutually exclusive or not.

Check whether the events are independent or not.