Class 12 Probability · Short Answer2 Marksindependence
Class 12 Maths · Probability · Short Answer #42
A fair die has 1,2,3 marked red and 4,5,6 green. Test independence of A=“even” and B=“red”.
✅ Step-by-Step Solution
Final Answer: Not independent.
- A={2,4,6}, B={1,2,3}, A∩B={2}.
- P(A)=P(B)=1/2, so P(A)P(B)=1/4, but P(A∩B)=1/6.
- The values differ, hence A,B are not independent.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] A={2,4,6}, B={1,2,3}, A∩B={2}.
- [1 mark] P(A)=P(B)=1/2, so P(A)P(B)=1/4, but P(A∩B)=1/6.
- [0.5 marks] The values differ, hence A,B are not independent.
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