Question

From the reading, if two probability events A and B are completely exhaustive (sometimes called complementary) then: Question 2 options:

P(A and B) = 0

P(A) + P(B) = 0

P(A or B) = 0

P(A) + P(B) = 1

Answer #1

**Ans . P(A) + P(B) = 1**

**Reason**: **Theoritical
Reasoning**

Two or more **events** are said to be
**exhaustive** if there is a certain chance of
occurrence of at least one of them when they are all considered
together. There is certainty which means Probability should sum
upto 1.

**Mathematical Reasoning**

These are also called as complementary events.

In other words , if Event A and Event B comprise in the sample space , then Event B is complementary to Event A and vice versa.

We know that ,

P (A) + P(A') = 1

Now since Event A'= Event B

Thus , P(A) + P(B) = 1

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