I need all the questions answered with shown work

1. A coin is tossed until a tail appears. What is the probability that a tail will appear in at most 5 tries? 2. If P(E) = 0.7, P(F | E) = 0.35, and E and F are independent, find P(F). 3. Two dice are rolled. Find the following probabilities. • P (the sum of the dice is 6) • P (the sum of the dice is 3) • P (the sum is 12) • P (the sum is less than 4) 4. A committee of five is selected from a total of 3 freshmen, 9 sophomores, and 5 juniors. Find the probabilities for the following events. • At least three freshmen. • All five of the same class. • Not all five from the same class. • Exactly three of the same class. 5. A card is drawn from a 52-card deck, and the events C and D are as follows: C = It is a jack D = It is a spade. Find the probability of event C OR event D occurring, P(C U D).