Let $X$ and $Y$ are two events such that $P(X \cup Y=P)\,(X \cap Y).$
Statement $1:$ $P(X \cap Y' = P)\,(X' \cap Y = 0).$
Statement $2:$ $P(X) + P(Y = 2)\,P\,(X \cap Y)$
Let $X$ and $Y$ are two events such that $P(X \cup Y=P)\,(X \cap Y).$
Statement $1:$ $P(X \cap Y' = P)\,(X' \cap Y = 0).$
Statement $2:$ $P(X) + P(Y = 2)\,P\,(X \cap Y)$
- [AIEEE 2012]
- A
Statement $1$ is false, Statement $2$ is true.
- B
Statement $1$ is true, Statement $2$ is true,Statement $2$ is not a correct explanation of Statement $1$ .
- C
Statement $1$ is true, Statement $2$ is false
- D
Statement $1$ is true, Statement $2$ is true;Statement $2$ is a correct explanation of Statement $1.$
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- [IIT 1998]
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