NCERT Class 12 · Ch 13 Exercise 13.2 · Q5
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 5
A die has 1,2,3 red and 4,5,6 green. Are A=even and B=red independent?
💡 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: No.
- P(A)=3/6=1/2, P(B)=3/6=1/2; the intersection is only the red even face 2, of probability 1/6.
- Since 1/6≠(1/2)(1/2)=1/4, the events are dependent.
Master Chapter 13: Probability
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Probability.
← Previous Question
A fair coin and unbiased die are tossed. Are A=head and B=die shows…
Next Question →P(E)=3/5,P(F)=3/10,P(E∩F)=1/5. Are E,F independent?
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).