1.Mrs. Schultzkie has to correct papers for three different classes: Algebra, Geometry, and Trig. If Mrs. Schultzkie corrects the papers for each class at random, what is the probability she corrects Algebra papers first? Write your answer as a fraction in the form a/b (for example 1/7, 3/91)2. An ice cream parlor has 30 flavors but Su likes only half of them. If the scooper makes a three-scoop ice cream cone at random (using three different flavors), What is the probability Su will like all three flavors? Write your answer as a fraction in the form a/b (for example 1/7, 3/91) Please reduce the fraction.3. Mr. and Mrs. Kappler bought ten books and plan to give one at random to each of their five kids. If there is only one such way to distribute the books that will make every kid happy with their book, what is the probability that every kid will be happy with his or her book?Write your answer as a fraction in the form a/b (for example 1/7, 3/91)4. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards drawn are queens? Write your answer as a fraction in the form a/b (for example 1/7, 3/91). Reduce the fraction5.From a group of 22 nurses, 4 are to be selected to present a list of grievances to management. One of the nurses is Ms. Smith. Find the probability that Ms. Smith will be among the 4 selects. Write your answer as a decimal.6. A Hand of 5 cards is dealt to each player from a deck of 52 cards. Find the probability that a hand contains only hearts. Round to the nearest thousandth. Write your answer as a fraction in the form a/b (for example 1/7, 3/91). Reduce the fraction.7. An elevator has 4 passengers and stops at 7 floors. It is equally likely that a person will get off at any one of the 7 floors. Find the probability that no 2 passengers leave at the same floor. Write your answer as a decimal.8. A jar contains 3 red, 2 blue, and 8 green marble. If two marbles are drawn at random from the jar and the first marble is not replaced before the second is drawn, what is the probability that the second is green? Write your answer as a decimal. Round your answer to the nearest thousandths.9. An ice cream parlor has 30 flavors but Su likes only half of them. If the scooper makes a three-scoop ice cream cone at random (using three different flavors), What is the probability Su will like at least one flavor? Write your answer as a decimal. Round your answer to the nearest thousandths.10. Of the 16 members of President first cabinet, 4 are women. Suppose that the president randomly selects 4 advisers from the cabinet for a meeting. Find the probability that the group of four would consist of at least 1 woman. Write your answer as a decimal. Round your answer to the nearest thousandths.1.Five-card stud is a poker game, in which a player is dealt 5 cards from an ordinary deck of 52 playing cards. How many distinct poker hands could be dealt?2. How many different ways can you arrange the letters X, Y, and Z without repeating letters? (Hint: In this problem, order is important; i.e., XYZ is considered a different arrangement than YZY.)3. In horse racing, a trifecta is a type of bet. To win a trifecta bet, you need to specify the horses that finish in the top three spots in the exact order in which they finish. If eight horses enter the race, how many different ways can they finish in the top three spots?4. How many sample points are in the sample space when a coin is flipped 4 times and each time the result (heads or tails) is recorded?5. A business man has 4 dress shirts and 7 ties. How many different shirt/tie outfits can he create?6. Joleen is on a shopping spree. She buys six tops, three shorts and 4 pairs of sandals. How many different outfits consisting of a top, shorts and sandals can she create from her new purchases?7. What is the total number of possible 4-letter arrangements of the letters m, a, t, h, if each letter is used only once in each arrangement? 8. There are 12 boys and 14 girls in Mrs. Schultzkie's math class. Find the number of ways Mrs. Schultzkie can select a team of 3 students from the class to work on a group project. The team is to consist of 1 girl and 2 boys. 9. The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those offices be filled?10. For a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from, in how many ways can the program for this segment be arranged?12. A combination lock can be set to open to any 3-letter sequence. How many such sequences are possible?12. A teacher has 5 different books to be arranged side by side. How many different arrangements are possible?13. From a group of 8 professors, a committee is selected to develop a new curriculum. How many committees can be formed with five numbers of members?14. Three managers are to be selected from a group of 30 to work on a project. In how many different ways can the managers be selected?15. The managers are to be selected from a group of 30 to work on a project. In how many different ways can the group of 3 be selected if a certain manager must work on the project?16. The managers are to be selected from a group of 30 to work on a project. In how many different ways can a nonempty group of at most 3 managers be selected from these 30 managers?17. Morse code uses sequence of dots and dashes to represent letters and words. How many sequences are possible with at most 3 symbols?19. A television talk show will include 4 women and 3 men as panelists. In how many ways can the panelists be seated in a row of 7 chairs if the men and women are to be alternated?20. A television talk show will include 4 women and 3 men as panelists. In how many ways can the panelists be seated in a row of 7 if the men must sit together and the women must sit together?18. A television talk show will include 4 women and 3 men as panelists. In how many ways can the panelists be seated in a row of 7 chairs?21. In how many ways can a full house of aces and eights (3 aces and 2 eights) be dealt in a 5-card poker hand?22. Five cards are dealt from a standard 52-card deck. How many such hands have exactly 2 hearts?23. Five cards are dealt from a standard 52-card deck. How many such hands have all cards of a single suit?

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