Class 12 Probability · Short Answer2 Marksconditional_probability
Class 12 Maths · Probability · Short Answer #46
Roll independent fair black and red dice. Given red<4, find P(sum=8).
✅ Step-by-Step Solution
Final Answer: 1/9
- Given red∈{1,2,3}, there are 6·3=18 equally likely ordered outcomes.
- The sum-8 possibilities satisfying the condition are (black,red)=(6,2),(5,3), giving 2 outcomes.
- Thus the conditional probability is 2/18=1/9.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Given red∈{1,2,3}, there are 6·3=18 equally likely ordered outcomes.
- [1 mark] The sum-8 possibilities satisfying the condition are (black,red)=(6,2),(5,3), giving 2 outcomes.
- [0.5 marks] Thus the conditional probability is 2/18=1/9.
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