Chapter 4.3, Problem 23E

a.

To determine

Compute the value of $P\left(A\right),P\left(B\right),\text{and }P\left(C\right)$.

b.

To determine

Find sample points in $A\cup B$.

Find the value of $P\left(A\cup B\right)$.

c.

To determine

Find sample points in $A\cap B$.

Find the value of $P\left(A\cap B\right)$.

d.

To determine

Check whether the events A and C are mutually exclusive or not.

e.

To determine

Find sample points in $B^c$.

Find the value of $P\left(B^c\right)$.