NCERT Class 12 · Ch 13 Exercise 13.1 · Q14
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 14
Given the two fair dice show different numbers, find the probability their sum is 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: 1/15.
- The 36 ordered outcomes lose the six doubles, leaving 30 conditioned outcomes.
- Sum 4 occurs at (1,3),(2,2),(3,1). The double (2,2) is excluded, leaving two: 2/30=1/15.
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