Question:

Given: Two groups are competing for position on Board of Directors of a corporation. Probabilities that 1st and 2nd groups will win are 0.6 and 0.4 respectively. Further, if 1st group wins, probability of introducing new product is 0.7 and corresponding probability if 2nd group wins is 0.3. Find probability that new product introduced was by 2nd group.
Step 1: Formulate initial mathematical setup / substitution:
Given equation / conditions:
$$P(E1)$$
[1.0 Mark]
Step 2: Perform intermediate algebraic / calculus operations:
Executing the step-by-step reduction:
$$0.3. P(E2|N)$$
[1.0 Mark]
Step 3: Evaluate final values / boundary conditions:
Substituting limits or solving the simplified system:
$$2/9.$$
[1.0 Mark]
Conclusion: The final evaluated answer is 2/9..

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🎯 Official CBSE Marking Scheme:
Formulating mathematical relation: 1.0 Mark
Executing algebraic/calculus operations: 1.0 Mark
Evaluating final solution/vector: 1.0 Mark