NCERT Class 12 · Ch 13 Exercise 13.2 · Q4
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 4
A fair coin and unbiased die are tossed. Are A=head and B=die shows 3 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: Yes.
- There are 12 equally likely pairs. P(A)=1/2, P(B)=1/6, and P(A∩B)=1/12.
- Since (1/2)(1/6)=1/12, the product criterion holds.
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