Please help with these questions I have add the word doc for the graphs.

1.Find Ac U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}. A.{12, 14, 16, 18} B.{2, 4, 6 , 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} C.{1, 3, 4, 5, 12, 9} D.{1, 3, 4, 5, 12, 20} 2.Find the number of possible outcomes when three dice are rolled. A.216 B.36 C.18 D.12 3.A spinner with divisions 1 to 8 is spun. An even number is chosen. Describe the complement of the set of the even numbers. A.The set of prime numbers from 1 to 8. B.The set of odd numbers from 1 to 8. C.The set of even numbers from 1 to 8. D.The set of composite numbers from 1 to 8. 4.If A = {a, b} and B = {2, 5}, find the number of subsets of A U B. A.16 B.8 C.36 D.0 5.If the sample space, S = {1, 2, 3, 4, ..., 15} and A = the set of odd numbers from the given sample space, find Ac. A.{1, 2, 3, 4, 5, 6, ..., 15} B.{1, 3, 5, 7, 9, 11, 13, 15} C.{1, 2, 3, 4, 15} D.{2, 4, 6, 8, 10, 12, 14} 6.Find A U Bc if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6 ,8, 10, 12, 14, 16, 18}. A.{1, 2, 3, 4, 5} B.{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20} C.{1, 2, 3, 4, 5, 9, 12} D.{1, 3, 4, 5, 12, 18, 20} 1.If there are three independent events E1, E2, and E3, then the probability P(E1 and E2 and E3) equals ____________________. A.P(E1) * P(E2) * P(E3) B.P(E1) + P(E2) + P(E3) C.P(E1) / P(E2) / P(E3) D.None of the choices 2.Three coins are tossed. What is the probability of getting all heads? A.1/2 B.1/4 C.1/8 D. 3.A spinner is numbered from 1 to 8. The spinner is rotated and simultaneously a coin is tossed. What is the probability of getting a number greater than 4 on the spinner and a tail? A. B. C. D. 4.A bag contains 5 oranges and 5 mangoes. If two fruits are drawn one by one with replacement, find the probability that the first one is mango and the second one is orange. A.1/4 B.1/5 C.2/25 D.10/100 5.If the probability that the person A will be alive for 30 years is 0.7 and the probability that the person B will be alive for 30 years is 0.5, what is the probability that they both will be alive for 30 years? A.0.24 B.1.2 C.0.15 D.0.35 1.A bag contains 5 green and 6 yellow marbles. Two marbles are drawn at random without replacement. If the first marble drawn is green, what is the probability the second marble is yellow? A.45.5% B.60% C.50% D.54.5% 2.A box contains 3 red, 4 black, and 7 green balls. If three balls are drawn one after the other at random with replacement, find the probability that all 3 are red. A.2/64 B.3/2,744 C.27/2,744 D.3/14 3.Phil wants to play full-back for his football team. The decision depends on who serves as head coach for a given game. Coach Sal is head coach about 75% of the time, and Coach Benny is head coach other 25% of the time. Coach Sal has faith in Phil, so he starts him at full-back in 70% of the games he coaches. Coach Benny is not so sure, so he starts Phil at full-back 30% of the time. What is the probability of Phil starting as full-back for the next game? A.0.398 B.0.6 C.0.4 D.0.24 4.Which of the following events is a conditional event? A.Event which never happens in a trial. B.Both events do not depend on each other. C.An event occurred when another related event had already occurred. D.All of the choices. 5.Which of following events is called conditional event? A.A or B B.A and B C.A given B D.Neither A nor B 6.A box contains 2 yellow, 5 pink, and 3 brown marbles. If two marbles are drawn one after the other with replacement, find the probability of getting one yellow and one brown marble. A.4/100 B.6/100 C.4/90 D.6/10 7.In a class, 30% of the students study Language Arts and Social Studies. 70% of the students study Language Arts. What is the probability of a student studying Social Studies given he/she is already studying Language Arts? A.4/7 B.7/10 C.3/7 D.1/7 1.In an election, candidate A received 36% of the vote, candidate B received 44% of the vote, and candidate C received 20% of the vote. If you randomly select a person from all who voted, what is the probability that the person voted for either candidate A or candidate C? A.0.20 B.0.36 C.0.56 D.1 2.A standard number cube is tossed. Find the probability of getting P(greater than 2 or less than 4). A.1/2 B.1 C.5/6 D.6 3.During a magic trick, a magician randomly draws one card from a standard deck of cards. What is the probability that the card drawn is a spade or club? A. B. C. D.52 4.If P(A) = 0.31, P(B) = 0.12, and P(A or B) = 0.42, find P(A and B). A.0.01 B.0.1 C.0.02 D.0 5.A spinner has 4 equal sectors colored blue, green, red, and yellow. What is the probability of landing on green or yellow after spinning this spinner? A. B. C. D.1 6.A card is picked from the deck of cards. Find the probability that jack or queen is selected. A.2/13 B.1/13 C.3/13 D.13 1. What is the probability to form a word ending with a consonant by rearranging abcdefghi? A. B. C. D. 2.How many three digit numbers can be formed from 5, 6, 7, 8, 9? A.40 B.50 C.60 D.70 3.What is the probability to choose three vowels from the letters a, b, c, d, e, f, g, h, i? A.1/24 B.1/54 C.1/84 D. 4.A 4 digit number is formed from 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition. What is the probability of forming a 4 digit even number? A.0.64 B.0.5 C.0.34 D.0.44 5.In a class of 10 boys and 12 girls, a committee of 4 members is to be formed. What is the probability to form a committee consisting of 2 boys and 2 girls? A.0.3040 B.0.4060 C.0.5060 D.0.2060 6.Brandon wants to buy three pets out of 6 cats and 10 dogs. What is the probability of buying two cats and a dog? A.3/16 B.15/56 C.16/150 D.10/560 1.Find Ac B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 9, 10, 11, 12}. A. Ac B = {2, 4, 6, 8, 9, 10} B. Ac B = {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} C. Ac B = {11, 12} D. Ac B = {2, 4, 6, 8, 9, 18, 19, 20} 2.Given: A = {1, 2, 3, 4, 6, 8}; B = {1, 3, 5, 6, 7, 8, 10}. Find the union of sets A and B. A. A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10} B. A U B = {2, 4, 5, 7, 8, 10} C. A U B = {1, 2, 3, 4, 6, 7, 10} D. A U B = {3, 5, 6, 7, 10} 3.Two fair dice are rolled. Find the probability of getting a number 6 on each one. A.1/6 B.2/6 C.1/36 D.2/36 4.Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls. What would be the probability that both balls are red? A.2/7 B.1/12 C.1/7 D. 5.Hubert turns up at school either late or on time. He is then either shouted at or not. The probability that he turns up late is 0.3. If he turns up late, the probability that he is shouted at is 0.6. The probability that he turns up on time and is still shouted at for no particular reason is 0.1. You hear Hubert being shouted at. What is the probability that he was late? A.18/25 B.6/7 C.7/25 D.1/2 6.Which of the following is true if A and B are two dependent events? A.P(A B) = P(A|B) P(A) B.P(A B) = P(A) P(B) C.P(A B) P(A) P(B) D.P(A B) = P(B|A) P(B) 7.A survey found that in a city, 18% of the population owned cars, 24% of the population owned motorcycles, and 6% of the population owned both a car and a motorcycle. Find the probability that a randomly chosen member of the population owns a car or a motorcycle. A.0.36 B.0.31 C.0.28 D.3.0 8.About 51% of U.S. college students are below 25 years old. About 24% of U.S. college students are above 34 years old. What is the probability that a U.S. college student chosen at random is below 25 or above 34 years? A.0.76 B.0.74 C.0.75 D.1.75 9.An urn contains 5 blue balls, 9 red balls, and 6 white balls. What is the probability to select a blue ball? A. B. C. D.1 10.A flag of 5 colors is to be created from 10 black color stripes, 8 red color stripes, and 9 white color stripes. What is the probability to choose two black color stripes, 2 red color stripes, and a white color stripe? A.1 B.0.12 C.0.1 D.0.1405