NCERT Class 12 · Ch 13 Exercise 13.1 · Q10
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 10
Black and red dice are rolled. Find (a) P(sum>9 | black=5), (b) P(sum=8 | red<4).
💡 Concept Hints
- Define the events and identify which event is being conditioned on.
- Use P(E|F)=P(E∩F)/P(F), or separate the possible sources before applying total probability and Bayes.
✅ Step-by-Step Solution
Final Answer: (a) 1/3; (b) 1/9.
- (a) With black=5 there are six red outcomes; red=5 or 6 makes the sum exceed 9. Thus 2/6=1/3.
- (b) Red can be 1,2,3 and black 1,…,6, giving 18 ordered outcomes. The successful pairs (black,red) are (6,2),(5,3), giving 2/18=1/9.
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