Chapter 4.3, Problem 22E

To determine

(a)

To find the probability of A, B and C.

To determine

(b)

To find the $P\left(A\cup B\right)$ and also identify whether A and B are mutually exclusive.

To determine

(c)

To find the $A^c,C^c,P\left(A^c\right)\text{and}P\left(C^c\right)$

To determine

(d)

To find the $A\cup B^c$ and $P\left(A\cup B^c\right)$

To determine

(e)

To find the probability for $P\left(B\cup C\right)$.