NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 6

Question

A fair coin is tossed three times. Find P(E|F): (i) E=head on third toss, F=heads on first two; (ii) E=at least two heads, F=at most two heads; (iii) E=at most two tails, F=at least one tail.

Accepted Answer

Final Answer: (i) 1/2; (ii) 3/7; (iii) 6/7. Step 1: Assume independent fair tosses; the eight ordered H/T strings are equally likely. Step 2: Condition by restricting the sample space to F before counting E∩F. Step 3: i: the conditioned space has 2 equally likely outcomes, of which 1 satisfy the event. Thus P=1/2. Step 4: ii: the conditioned space has 7 equally likely outcomes, of which 3 satisfy the event. Thus P=3/7. Step 5: iii: the conditioned space has 7 equally likely outcomes, of which 6 satisfy the event. Thus P=6/7.

NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 6

💡 Concept Hints

✅ Step-by-Step Solution

Master Chapter 13: Probability

All Questions in Probability — Exercise 13.1

Related Questions in Probability