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Two events A and B will be independent, ...

Two events A and B will be independent, if

A

A and B are mutually exclusive

B

`P(A^(')B^('))=[1-P(A)][1-P(B)]`

C

P(A) = P(B)

D

P(A) + P(B) = 1

Text Solution

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The correct Answer is:
To determine the conditions under which two events A and B are independent, we can analyze the definitions and properties of independent events. Here is a step-by-step solution: ### Step 1: Understand the definition of independent events Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other. Mathematically, this is expressed as: \[ P(A \cap B) = P(A) \cdot P(B) \]
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