2. Six cards are selected from a deck without replacement. Find the following: (a) the probability of least one of each suit (b) the probability of exactly 3 hearts (c) the probability of at least one heart A carnival game allows the player to select one card from a deck. If the card selected is not a face card, the player receives $156; and if the card selected is a face card, the player must pay $364. (a) What is the expected value of this game? (b) Would you play this game? Explain. 14. The Centers for Disease Control estimates that the odds against getting the flu without getting a flu shot are 3:2. What is the probability of getting the flu without the shot? 15. A camera serial number consists of 3 digits followed by 3 letters. If repetition of digits is allowed but repetition of letters is not allowed, how many different numbers are possible? 16. A jar contains 5 red candies and 8 yellow candies. You take candies from the jar one at a time without replacement. Find the probability that a. the first red candy is the 3d candy taken. b. the 3"d yellow candy is the 6" candy taken. c. the last red candy is the 10" candy taken