If P(A) + P(B) = 1; then which of the following option explains the event A and B correctly?
A
Event A and B are mutually exclusive, exhaustive and complementary events.
B
Event A and B are mutually exclusive and exhaustive events.
C
Event A and B are mutually exclusive and complementary events.
D
Event A and B are exhaustive and complementary events.
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A
Event A and B are mutually exclusive, exhaustive and complementary events.
Since P(A) + P(B) = 1
$\therefore\text{A}\cap\text{B}=0.$
Thus, event A and B are mutually exclusive, exhaustive and complementary events.
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