can you help me with these questions from 1-16 the probability of winning the Po

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can you help me with these questions from 1-16

the probability of winning the Powerball lottery is 1/80,089.128 uueed in Section 3-4. For a person buying one ticket 3-7 Basic Skills and Concepts Calculating Factorials, Combinations, Permutations. In Exercises 1-8 en expressions and express all results using the usual format for writing numbers (in stead of scientific notation) , evaluate the 6! 2. 15! 25P 4. 6. C. 100 3 525 8. 52Ps Probability of Winning the Lottery. This section included an example showing that the bability of winning the Maine lottery is 1/5,.245,786. In Exercises 9-12. find the prob ability of winning the indicated lotte Massachusetts Mass Millions: Select the winning six numbers from 1,2.. .. .49 10. Pennsylvania Super 6 Lotto: Select the winning six numbers from 1,2, . . 69 11. New York Lotto: Select the winning six numbers from 1,2.. .. . 59 12. New York Take Five: Select the winning five numbers from 1, 2,..., 3 13. 9 Age Discrimination The Pitt Software Company reduced its sales staff from 32 ployees to 28. Th job termination. However, the four employees chosen are the four oldest employees e company claimed that four employees were randomly selected for among the original sales force of 32. Find the probability that when four employees are randomly selected from a group of 32, the four oldest are selected. Is that proba bility low enough to charge that instead of using random selection, the Pitt Software Company actually fired the oldest employees? 14. Computer Design In designing a computer, if a byte is defined to be a sequence of 8 bits and each bit must be a 0 or 1, how many different bytes are possible? (A byte is often used to represent an individual character, such as a letter, digit, or punctuation symbol. For example, one coding system represents the letter A as 01000001.) Are there enough different bytes for the characters that we typically use, including lower case letters, capital letters, digits, punctuation symbols, dollar sign, and so on? Maine Lottery The probability of winning the Maine lottery is 1/5,245,786. What is the probability of winning if the rules are changed so that in addition to selecting the correct six numbers from I to 42, you must now select them in the same order as the are drawn? 16. Testing a Claim Mike claims that he has developed the ability to roll a 6 almost every time that he rolls a die. You test his claim by having Mike roll a die five times, and ets a 6 each time. If Mike has no ability to affect the outcomes, find the probability at he will roll five consecutive 6s when a die is rolled five times. Is that probability low enough to support Mike's claim?

Explanation / Answer

Hi, please post 1 question per post, as per forum rules. Here' answer to 1st section of the list i.e. Q1-Q8:

1. 6! = 6*5*..*1 = 720
2. 15! = 15*14..*1 = 1307674368000
3. 25P2 = 25!/23! = 25*24 = 600
4. 100P3 = = 100!/97! = 100*98*99 = 970200
5. 25C2 = 25!/2!23! = 300
6. 100C3 = 100!/3!97! = 161700
7. 52C5 = 52!/5!47! = 25989606
8. 52P5 = 52*51..*47 = 311875200

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