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**