Practice - McGraw-Hill Higher Education

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12-3NAME______________________________________________ DATE______________ PERIOD _____PracticePermutations and CombinationsDetermine whether each situation involves a permutation or combination. Explainyour reasoning.1. choosing two dogs from a litter of two males and three females2. a simple melody formed by playing the notes on 8 different piano keys3. a selection of nine muffins from a shelf of twenty-three4. the selection of a four-letter acronym (word formed from the initial letters of otherwords) in which two of the letters cannot be C or P5. choosing an alphanumeric password to access a websiteEvaluate each expression.6. 11P 37. 6P 38. 15P 3Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.9. 10C 910. 12C 911. 7C 312. 7C 413. 12C 414. 13P 315. ( 8C 4 )( 8C 5 ) 16. ( 17C 2 )( 8C 6 ) 17. ( 16C 15 )( 16C 1 )18. ( 8P 3 )( 8P 2 ) 19. ( 5P 4 )( 6P 5 ) 20. ( 13P 1 )( 15P 1 )21. ( 10C 3 )( 10P 3 ) 22. ( 15P 4 )( 4C 3 ) 23. ( 14C 7 )( 15P 3 )24. SPORT In how many orders can the top five finishers in a race finish?JUDICIAL PROCEDURE The court system in a community needs to assign 3 out of8 judges to a docket of criminal cases. Five of the judges are male and three arefemale.25. Does the selection of judges involve a permutation or a combination?Lesson 12-326. In how many ways could three judges be chosen?27. If the judges are chosen randomly, what is the probability that all 3 judges are male?Chapter 12 23 Glencoe Algebra 1
12-4NAME______________________________________________ DATE______________ PERIOD _____PracticeProbability of Compound EventsA bag contains 5 red, 3 brown, 6 yellow, and 2 blue marbles. Once a marble isselected, it is not replaced. Find each probability.1. P(brown, then yellow, then red) 2. P(red, then red, then blue)3. P(yellow, then yellow, then not blue) 4. P(brown, then brown, then not yellow)A die is rolled and a card is drawn from a standard deck of 52 cards. Find eachprobability.5. P(6 and king) 6. P(odd number and black)7. P(less than 3 and heart) 8. P(greater than 1 and black ace)One card is drawn from a standard deck of 52 cards. Find each probability.9. P(spade or numbered card) 10. P(ace or red queen)11. P(red or not face card) 12. P(heart or not queen)Tiles numbered 1 through 25 are placed in a box. Tiles numbered 11 through 30are placed in a second box. The first tile is randomly drawn from the first box.The second tile is randomly drawn from the second box. Find each probability.13. P(both are greater than 15 and less than 20)14. The first tile is greater than 10 and the second tile is less than 25 or even.15. The first tile is a multiple of 3 or prime and the second tile is a multiple of 5.16. The first tile is less than 9 or odd and the second tile is a multiple of 4 or less than 21.17. WEATHER The forecast predicts a 40% chance of rain on Tuesday and a 60% chance onWednesday. If these probabilities are independent, what is the chance that it will rain onboth days?FOOD Tomaso places favorite recipes in a bag for 4 pasta dishes, 5 casseroles,3 types of chili, and 8 desserts.18. If Tomaso chooses one recipe at random, what is the probability that he selects a pastadish or a casserole?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.19. If Tomaso chooses one recipe at random, what is the probability that he does not select adessert?20. If Tomaso chooses two recipes at random without replacement, what is the probability thatthe first recipe he selects is a casserole and the second recipe he selects is a dessert?Chapter 12 30 Glencoe Algebra 1
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