Exercise 13.1 Page No: 538
1. Given that E and F are events such that P (E) = 0.6, P (F) = 0.3 and P (E ∩ F) = 0.2, find P (E|F) and P (F|E)
Solution:
2. Compute P (A|B), if P (B) = 0.5 and P (A ∩ B) = 0.32
Solution:
3. If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find
(i) P (A ∩ B)
(ii) P (A|B)
(iii) P (A ∪ B)
Solution:
4. Evaluate P (A ∪ B), if 2P (A) = P (B) = 5/13 and P (A|B) = 2/5.
Solution:
5. If P (A) = 6/11, P (B) = 5/11 and P (A ∪ B) = 7/11, find
(i) P (A∩B)
(ii) P (A|B)
(iii) P (B|A)
Solution:
Determine P (E|F) in Exercises 6 to 9.
6. A coin is tossed three times, where
(i) E : head on third toss, F : heads on first two tosses
(ii) E : at least two heads, F : at most two heads
(iii) E : at most two tails, F : at least one tail