Probability
NCERT Class 12
CBSE
Grade 12
Question:
If $A$ and $B$ are two independent events, prove that $P(A \cup B) = 1 - P(A') P(B')$.
Step-by-Step Solution
$P(A \cup B) = 1 - P(A' \cap B')$. [1.5 Marks]
By independence of $A', B': P(A' \cap B') = P(A')P(B') \Rightarrow P(A \cup B) = 1 - P(A')P(B')$. [1.5 Marks]
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🎯 Official CBSE Marking Scheme:
Applying De Morgan's complement identity: 1.5 Marks
Applying independence to complete proof: 1.5 Marks
Correct Answer:
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