**Question 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).

**Question 2**

Compute P(A|B), if P(B) = 0.5 and P (A ∩ B) = 0.32

**Question 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)

**Question 4**

Evaluate P (A ∪ B), if 2P (A) = P (B) =and P(A|B) =

**Question 5**

If P(A), P(B) =and P(A ∪ B) =, find

(i) P(A ∩ B) (ii) P(A|B) (iii) P(B|A)

**Question 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

**Question 7**

A black and a red dice are rolled.

(a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

(b) F...

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