= 1. P(A) 1/4, P(A|B) = 1/3, P(B|A) P(AUB) = ? = 1/2, and then 2. Suppose someone tosses a dice for 6 times, and then what is the probability for him to get exactly the same number? What about him to get totally different number? 3. Suppose P(A)=P(B) = p, and P(AB)=P(A'B'), then how large is p? 4. If the events A and B are independent, prove that A and B', A' and B, A' and B' are all independent. 5. Suppose the events P(A)=P(B) = ) = P(A|B)= . Then P(A|B)=? 6. Suppose the cdf for rv X is A and B satisfy (0, x