CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q111 Marksindependent_events
CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 11 (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
- 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.
Master Chapter 13: Probability
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Probability.
← Previous Question
For direction ratios (1,−2,3) and (−2,p,−6), find p for parallel…
Next Question →Find the domain of arcsin(1−2x).
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/3/2
Related Questions in Probability
Class 12 Probability · Mcq Single Correct
Given P(A)=4/5 and P(A∩B)=7/10, find P(B|A).
Class 12 Probability · Mcq Single Correct
Five independent fair coins are tossed. Find the probability of at least one head.
Class 12 Probability · Mcq Single Correct
Given P(A|B)=0.3, P(A)=0.4, P(B)=0.8, find P(B|A).
Class 12 Probability · Mcq Single Correct
Two independent fair dice have sum 9. Find the conditional probability that at least one die…
Class 12 Probability · Mcq Single Correct
Choose an ordered pair (a,b) uniformly with distinct a,b from {1,2,3,4,5}. Find P(a/b is an…
Class 12 Probability · Mcq Single Correct
Given P(A)=0.4, P(B)=0.3 and P(A∪B)=0.5, find P(B′∩A).