Question

If P(A) = P(B), then

• A. A and B are the same events
• B. A and B must be same events
• C. A and B may be different events
• D. A and B are mutually exclusive events.

Answer 1

Answer: (C)

A and B may be different events

Given $P\left(A\right)=P\left(B\right)$

Then $A$ can be different event from $B$ because $A\xi B$ are Mutually exclusive.

i.e, $A\xi B$ may be different events.
Hence, the answer is $A$ and $B$ may be different events.