For questions 1, 2, 3, 4, 7, 8, 10, 11, 12, and 13, I ONLY NEED the answer. I DO NOT NEED an explanation. For questions 5, 6, and 9 I need the correct answer with a brief explanation. I will give the highest rating, thank you much appreciated!

Question 1: Choose the correct answer below:

Let U be the set mall integers from 1 lo 10. Let A = {1, 3, E, T} and B = {2, 3}. Which choice describes the set {4, 5, B, Q, 10}? 0 A03 0 A03 O AUB O AUB A group of 50 mice is being used in an expen'ment. Event A is a male mouse being chosen at random. Event E is a mouse that is at least 6 months old being chosen. Which expression describes a female mouse younger than 6 months old being chosen? The notation ['1 means "intersection," and the notation U means "union.\" 0 A03 OACHBC O ACLJBC 0 A036 \fA bag contains hair ribbons for a spirit rally. The bag contains 3 black ribbons and 17 green ribbons. Lila and Jessica are drawing from the bag at random. Explain why the events are dependent. Then find the probability of the event indicated below. Lila selects a black ribbon and then Jessica selects a green ribbon. Express your answer as a fraction in simplest form. The events are dependent because P(Jessica green) is different when Lila The events are dependent because P(Jessica green) is different when Lila A has already removed one ribbon from the bag. C has already removed one ribbon from the bag. 51 17 380 190 The events are dependent because P(Jessica green) is the same when Lila The events are dependent because P(Jessica green) is the same when Lila B has already removed one ribbon from the bag. D has already removed one ribbon from the bag. 12 51 95 400Let n be a randomly selected integer from 1 to 30. What is the probability that n is odd given that it is a multiple of 9? Give your answer as a simplified fraction.Yusef spins the spinner shown below. Are landing on an odd number and landing on a prime number independent events? Explain using conditional probability. In a bag of 60 candiea 36 are green and 45 have caramel in them. If the events of picking a green candy and picking a candy with caramel are independent, what percent of the green candies have caramel in them? 0 25% O 60% O ?5% O 100% Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of a senior being chosen first, followed by a sophomore, and followed by a junior? Round to the nearest tenth of a percent. O 1.2% O 1.5% O 1.7% O 2.0%The table shows the books in Tashonda's bookcase. If Tashonda takes a paperback book from her shelf without looking, find the probability that it is a mystery. Express your answer as a decimal rounded to the nearest hundredth. Paperback Hardbound Nonfiction 30 31 Mystery 39 37 Romance 33 42Use the table to match each conditional probability with the correct fraction. Male Female Total Blue 10 12 22 Brown 38 44 82 Green 12 14 26 Other 20 30 50 Total 80 100 180 The probability that a randomly selected male student has brown eyes. The probability that a randomly selected female student has green eyes. The probability that a randomly selected student with blue eyes is male. The probability that a randomly selected student with green eyes is female. 19 19 7 41 40 26 11A bag contains 5 orange marbles, 7' green marbles, and 8 blue marbles, where 3 of the orange marbles have white stripes, 1 of the green marbles has white stn'pes, and 5 of the blue marbles have white stripes. Which of the following are the statements? C] The probability that a randomly selected marble is orange or has white stripes is 0.85. C] The probability that a randomly selected marble is orange or does not have white stripes is (1?. C] The probability that a randomly selected marble is green or has white stripes is 0.?5. C] The probability that a randomly selected marble is green or does not have white stripes is 0.6. C] The probability that a randomly selected marble is blue or has white stlipes is 0.25. C] The probability that a randomly selected marble is blue or does not have white stripes is 0.3?5. Five friends pool their money to buy a video game. They decide to pass the game from one friend to the next, but can't decide who should get the game first. Which would be a fair method for deciding who gets the game first? Place the numbers 1-12 in a hat and pick one at random. If the result is from 1 to 3, give the game to the first friend; if it is 4 to 6, give the game to the second friend; and so on. O Spin a spinner with 4 equal sized areas. If it lands on the first, second, or third area, give the game to the first, second, or third friend. If it lands on the fourth area, flip a coin to decide whether to give the game to the fourth or the fifth friend. O Flip a coin 4 times and count the total number of heads. If there are 0 heads, give the game to the first friend; if there is 1 head, give it to the second friend; and so on. Use a random number generator to choose a number between 1 and 100. If the number is between 1 and 20, give the game to the first friend. If it is between 21 and 40, give the game to the second friend, and so on.To win a game, a player has to roll a 6 on a number cube. Ruben and Jim are playing the game together. Which of the following procedures makes the game the most fair? O Ruben rolls first, then Jim, then Ruben, and so on. If Jim rolls 6, he wins. If Ruben rolls 6, Jim also gets a chance to roll 6. If Jim succeeds, Ruben rolls again and play continues. If not, Ruben wins. O Ruben rolls first, then Jim, then Ruben, and so on. As soon as someone rolls 6, they win. O Ruben rolls the number cubes 6 times. If any of his rolls is a 6, he wins. If not, Jim wins. O Ruben rolls first, then Jim, then Ruben, and so on. If Jim rolls 6, he wins. If Ruben rolls 6, Jim also gets a chance to roll 6. If Jim succeeds, he wins. If not, Ruben wins