Really stuck on these questions... Ive completed the rest

You are dealt a hand of three cards, at random from a deck. Find the prob ability of each event. e) You get no aces. f] Y0u get all hearts. g] The third card is your rst red card. h] You have at least one diamond. You draw m card at random from a standard deck of cards. Find each of the following conditional probabilities: i] The card is a heart given that it is red. i) The card is red, given that it is a heart k) The card is an ace, given that it is red. 1) The card is a queen given that it is a face card. 3. The table shows the political afliations of American voters and their positions on the death penalty. a) What's the probability that a randomly chosen voter favors the death penalty? Death Penalty Party Favor 0211059 b) What's the probability that a voter is a republican and favors the death Re ublican 0.26 0.04 penalty? Democrat 0.12 0.24 Other 0.24- 0.10 c] What's the probability that a voter who favors the death penalty is a Republican? d] A candidate thinks she has a good chance of gaining the votes of anyone who is republican or in favor of the death penalty. What portion of voters is that? e) What's the probability that a republican favors the death penalty? 4. Seventy percent of kids who visit a doctor have a fever and 30% of kids with a fever have sore throats. What's the probability that a kid who goes to the doctor has a fever and a sore throat? 5. In a monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male. Find each of the following conditional probabilities if an animal is selected at random, [draw a table rst to organize all the values) a) The pet is male, given that it is a cat. b) The pet is cat, given that it is female. c) The pet is female, given that it is a dog. d) Are the species and sex of the animals independent? 6. In a sample of 2,000 US adults, 383 said Franklin Roosevelt was the best president since World War 11. Two US adults are selected at random without replacement. Find the probability that... a) Both adults say FDR was the best president since WWII b) Neither adult says FDR was the best president since WWII c) At least one of the two adults says FDR was the best president since WWII. d) Which of the above events would be considered unusual? Explain. [Think what percent would constitute as something unusual?) 7. Leah is ying from Boston to Denver with a connection in Chicago. The probability her ight leaves on time is 0.15. if the ight is on time, the probability that her luggage will make the connecting ight in Chicago is 0.95 but if the rst ight is delayed, the probability that the luggage will make it is only 0.65. (make a tree diagram) a) What is the probability that her luggage arrives in Denver with her? a) Are the rst ight leaving on time and the luggage making the connection independent events? Show work support your answer. 8. A company's records indicate that on any given day about 1% of their day shift employees and 2% of their night shift employees will miss work. 60% of the workers work the day shift. [make tree diagram) a) What percent of employees are absent on any given day? b) Is absenteeism independent of shift worked? Show work to sup port your