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