The probabilities of two events  and  are given by
 

Find , , , , and .

Also, examine whether  and  are:

a) Equally likely

b) Exhaustive

c) Mutually exclusive

d) Independent.

Given the probabilities of two events \( A \) and \( B \):

\[
P(A) = \frac{1}{3}, \quad P(A \cap B) = \frac{1}{6}
\]

We are tasked with finding several probabilities and then examining the relationship between the events \( A \) ______ ____ _____ ____ ___ _______ __________ ________.
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