A black and a red die are rolled. Find conditional probability of obtaining a sum greater than 9, given that black die resulted in a 5.
Step-by-Step Solution
Given: A black and a red die are rolled. Find conditional probability of obtaining a sum greater than 9, given that black die resulted in a 5.
Step 1: Set up the governing mathematical relation / formula:
From the given problem statement, we state the key relation:
$$Black die 5: outcomes (5,1)..(5,6). Sum > 9: (5,5), (5,6)$$
[1.0 Mark]
Step 2: Execute step-by-step evaluation and simplify:
Evaluating and simplifying the expression:
$$1/3.$$
[1.0 Mark]
Conclusion: The solution is verified as 1/3..
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🎯 Official CBSE Marking Scheme:
Setting up equation / formula: 1.0 Mark
Evaluating correct final answer: 1.0 Mark
Correct Answer: