Question

The probabilities of two events A and B are given by
 

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



Find P(B)P(A \cup B)P(A \cap B^c)P(B \setminus A), and P(A^c \cup B).

Also, examine whether A and B are:

a) Equally likely

b) Exhaustive

c) Mutually exclusive

d) Independent.

11 Jan 2025
Answer :
Word Count : 178

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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