As before type your work, in clear complete sentences. Due Tuesday May 10 1. What is the probability of tossing 5 coins and getting THTHT? HHHHH? Which rule are you using? 2. What is the probability of being dealt pocket queens in two successive hands (2 card hands) of holdem? 3. Find the probability of being dealt a holdem hand with a king and a queen (KQ or Q K). 4. Pick a card randomly from a freshly shuffled deck. Let R be the event that the card drawn is a red card, and let F be the event that the card is a face card. Are R and F independent? (Explain using the condition P(A B) = P(A) or the multiplication rule for independent events) 5. Let A be the event that you get an ace and let B be the event that you get a spade. Are A and B independent events? Explain in terms of conditional probabilities as in 4. Your answer should verify an equation as in 4