3 IStrings] We create a 5-character string by randomly choosing lowercase letters from the English alphabet (there are 26 letters in the alphabet). Let us define the following events: Event A: The first two characters are between a and g (inclusive). Event B: The last character is b. Assume repeated letters are allowed in the string. (a) Determine P(A) (b) Determine P(B) (c) Determine the probability that the first two characters are between a and g (inclusive) or the last character is b. (d) Determine the probability that only one of the two events A or B occurs. (e)-(h) Now, assume that when we randomly choose letters from the alphabet, we are not al lowed to have repeated letters in the string; i.e., we sample without replacement. Recal culate the probabilities in parts (a)-(d)