If $A$ and $B$ are two arbitrary eve

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If $A$ and $B$ are two arbitrary events then

Options:

$P(A\cup B)\geq P(A)+P(B)+1$

$P(A\cup B)\geq P(A)+P(B)-1$

$P(A\cup B)\geq P(A)-P(B)+1$

$P(A\cup B)\leq P(A)-P(B)+1$

Correct Answer:

$P(A\cup B)\geq P(A)+P(B)-1$

Explanation:

For two arbitrary events, (b) always holds.