Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Probability · Mcq Single Correct1 Marksbayes_theorem

Class 12 Maths · Probability · Mcq Single Correct #20

A,B solve a problem independently with probabilities 1/3,1/4. Conditional on both being wrong, their probability of the same incorrect answer is 1/20. If their answers agree, find P(the answer is correct).

✅ Step-by-Step Solution

Final Answer: Option (D): 10/13
  1. Correct agreement has probability (1/3)(1/4)=1/12. Incorrect agreement has probability (2/3)(3/4)(1/20)=1/40. The conditional probability is (1/12)/(1/12+1/40)=10/13.

Master Chapter 13: Probability

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Probability.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
In a college, 30% fail Physics, 25% fail Mathematics, and 10% fail…
Next Question →
Choose uniformly one function from {1,…,10} into itself. Find P(the…

More Practice Questions in Probability

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38Q39Q40

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).