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Probability
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $P(A) = 6/11, P(B) = 5/11$ and $P(A \cup B) = 7/11$, find $P(A \cap B)$ and $P(A|B)$.
Step-by-Step Solution
Given: If $P(A) = 6/11, P(B) = 5/11$ and $P(A \cup B) = 7/11$, find $P(A \cap B)$ and $P(A|B)$.
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$P(A \cap B)$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$4/5.$$
[1.0 Mark]
Conclusion: The solution is verified as 4/5..
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🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$P(A \cap B)$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$4/5.$$
[1.0 Mark]
Conclusion: The solution is verified as 4/5..
---
🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark
Correct Answer:
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