If probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct?

1. P($$\overline A $$) + P($$\overline B $$) = 2 $$-$$ 2p $$-$$ q

2. P($$\overline A $$ $$\cap$$ $$\overline B $$) = 1 $$-$$ p $$-$$ q

Select the correct answer using the code given below.

Two integers x and y are chosen with replacement from the set [0, 1, 2, ........., 10]. The probability that | x $$-$$ y | > 5 is

Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II, and III and rolled. Let x, y and z represent the number on die-I, die-II and die-III, respectively. What is the number of possible outcomes such that x > y > z ?

In a binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 5 trials ?