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For each of the problems below, use the appropriate equation. Give the answer as a fraction, a ratio, and a percent (i.e. 1/2, 1:1, 50%). USE THE APPROPRIATE FORMULA, SHOW YOUR WORK, AND CIRCLE YOUR FINAL ANSWER IN ALL CASES! 1. What is the probability that flipping a coin will produce a tail? 2. What is the chance that tossing a die will produce a 6? 3. What are the odds that tossing a die will produce a 5 OR 6? 4. A married couple wants to have two children, a boy and a girl. What is the probability that they could have two children, a boy first AND a girl second? 5. In the game of Yahtzee, five of a kind is called a Yahtzee. What is the probability of rolling a Yahtzee in a single roll of all five dice, e.g. all five dice being the same number? 6. In the game blackjack or 21, the attempt is to get cards that add up to 21. All cards are face value, 2, 3, 4, 5, 6, 7, 8, 9, 10, except J, Q, and K are all 10, and an ace can be 1 or 11. At a table in Las Vegas, it is common to use seven decks of cards, to eliminate card counting. The dealer, deals one card, face down, to each player, including the dealer. Every other card after that, is dealt face up. Robert LeRoy Parker a.k.a. Butch Cassidy is the only player, other than the dealer. Butch looks to find his face down card is a King. He gets the first face up card. He assumes the dealer's face down card is not an ace, what is the probability that Butch's face up card will be an ace, for a win, and a Black Jack?