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# TO SU Part 1: Probability were cay 1. A question on a multiple-choice test has 10...

TO SU Part 1: Probability were cay 1. A question on a multiple-choice test has 10 questions each with 4 possible answers (a,b,c,d). a. What is the probability that you guess all the answers to the 10 questions correctly (carn 100%)? 2. If you ask three strangers about their birthdays, what is the probability a. All were born on Wednesday? b. What is the probability that all three were born in the same month? c. All were born on different days of the week? d. None was born on Saturday? 44 -343 3. An automobile dealer decides to select a month for its annual sale. Find the probability that it will be September or October. 4. Consider the example of finding the probability of selecting a black card or a 6 from a deck of 52 cards. 5. The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82 a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer? b. What is the probability that a randomly selected student does not own a car or computer? 6. If 2 cards are selected from a standard deck of cards. The first card is placed back in the deck before the second card is drawn. Find the following probabilities: a) P(Heart and club) b) P(Red card and 4 of spades) c) P(Spade and Ace of hearts) 7. If 2 cards are selected from a standard deck of cards. The first card is not replaced in the deck before the second card is drawn. Find the following probabilities: c) PQ of Hearts and Q of hearts) a) P(2 Aces) b) P(Queen of hearts and a King)
8. A flashlight has 6 batteries, 2 of which are defective If are selected at random without replacement, find the probability that both are defective. 9. You take a trip by air that involves three independent flights. If there is an 80% chance each specific leg of the trip is on time, what is the probability all three flights arrive on time? 1-7576 Part 2: Counting 1. The United States Postal Service currently uses 5-digit zip codes in most areas. 10 10.10.1016/ a. How many zip codes are possible if there are no restrictions on the digits used? BE b. How many would be possible if the first number could not be 02 26 2. How many phone numbers are possible within the (310) area code if the first number is restricted to 2. 3. The local Family Restaurant has a daily breakfast special in which the customer may choose one item from each of the following groups: Breakfast Sandwich Accompaniments LJuice orange egg and ham breakfast potatoes egg and bacon apple slices cranberry fresh fruit cup Tomato FRB and cheese pastry apple grape a. How many different breakfast specials are possible? b. How many different breakfast specials without meat are possible? 4. A puzzle in the newspaper presents a matching problem. The names of 10 US presidents are listed in one column, and their vice presidents are listed in random order in the second column. The puzzle asks the reader to match each president with his vice president a. If you make the matches randomly, how many matches are possible? b. What is the probability all 10 of your matches are correct? Part 3: Combinations and Permutations
Enter Insert Solve the following problems: 1. In a lottery game, three numbers are randomly selected from a tumbler of balls numbered 1 through 50. a. How many permutations are possible? b. How many combinations are possible? 2. Suppose that 7 people enter a swim meet. Assuming that there are no ties, in how many ways could the gold, silver, and bronze medals be awarded? 3. How many different committees of 4 people can be chosen to work on a special project from a group of 9 people? 4. John bought a machine to make fresh juice. He has five different fruits: strawberries, oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different juice drinks can John make? 5. There are 15 people who work in an office together. Five of these people are selected to go together to the same conference in Orlando, Florida. How many ways can they choose this team of five people to go to the conference?

Since no question number is mentioned, I am doing the first one as per the guidelines.

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