Mathbee · CBSE Class 12 Maths

Class 12 Probability · Assertion Reason1 Marksindependence

Class 12 Maths · Probability · Assertion Reason #30

Assertion (A): For two independent fair dice, P(first odd and second a multiple of 3)=1/6. Reason (R): For every event A, P(A)+P(A′)=1.

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true but R is false.
(D) A is false but R is true.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.

The ordered outcomes number 3·2=6 out of 36. R is true but does not explain the joint-event count.

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

Assertion (A): If P(A)=3/8, P(B)=5/8, P(A∪B)=3/4, then P(A′|B′)=2/3…

Next Question →

Assertion (A): If X takes 0,1,2 with probabilities 1/4,1/2,1/4, its…

More Practice Questions in Probability

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38 Q39 Q40

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).