NCERT Class 12 · Ch 13 Exercise 13.1 · Q15
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 15
Throw a die; on a multiple of 3 throw it again, otherwise toss a coin. Find P(coin tail | at least one die shows 3).
💡 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: 0.
- A coin is tossed only if the first die is 1,2,4 or 5. On every such path no die showed 3.
- If at least one die shows 3, the path is in the two-die branch, so the coin-tail event cannot occur. The conditioning event has positive probability 1/6+1/36=7/36; its intersection with tail has probability zero.
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