Class 12 Probability · Short Answer2 Marksindependence
Class 12 Maths · Probability · Short Answer #44
A,B independently hit a target with probabilities 1/3 and 2/5. Each fires once. Find P(target is hit).
✅ Step-by-Step Solution
Final Answer: 3/5
- Use the complement: target is missed only if both shooters miss.
- Independent misses have probability (2/3)(3/5)=2/5.
- Therefore P(target hit)=1−2/5=3/5.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Use the complement: target is missed only if both shooters miss.
- [1 mark] Independent misses have probability (2/3)(3/5)=2/5.
- [0.5 marks] Therefore P(target hit)=1−2/5=3/5.
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