I need solve this question

Question 1 (3+3+4 marks) Two dice are rolled once, let A = 'Sum of two dice equals 3' B = 'Sum of two dice equals 7' C = 'at least one of the dice shows number 1' D = 'same number on the two dice' (a) What is P(A | C) (b) What is P(B | C) (c) Suppose getting event D is considered a success. Find the probability distribution of the number of success and its mean and variance