Please explain them by showing work, thanks

Section 4.3: Problem 4 (1 point) Suppose that A and B are two events for which P(A) = 0.18, P(B) = 0.77, and P(BIA) = 0.49 Find each of the following: A. P(A and B) = B. P(A or B) = C. P(AIB) = Section 4.4: Problem 15 (1 point) A secret code for a bank vault consists of 3 letters, then 4 digits and then 2 more letters. How many different codes are possible? Answer: How many codes are possible if repeating letters and digits is not allowed? Answer: How many codes are possible if repeats are not allowed and the first letter must be '2' and the fourth digit must be '3'? Answer: If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code?