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CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q41 Marksindependent_events

CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 4 (Probability)

Independent events E and F satisfy P(E)=3/10 and P(E∪F)=1/2. Find P(E | F)−P(F | E).

✅ Step-by-Step Solution

Final Answer: 1/70
  1. If p=P(F), the union formula gives 1/2=3/10+p−3p/10, hence p=2/7. By independence the difference is 3/10−2/7=1/70.

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