Pls help me

14. Twenty balls in a jar are numbered from 1 to 20. A ball is drawn at random. Find the probability that the number on the ball is less than 11 or greater than 15. A. 23 B. 34 C. 45 D. 56 15. The LSI or Locally Stranded Individual has a 95% chance that can avail "Balik Probinsya Program" if assisted by their LGU, 50% chance if they rely on DSWD, and an 80% chance on both. What is the probability that they will reach their province by relying on LGU or DSWD? A. 95% B. 85% C. 75% D. 65% GIVEN: Amelia has a deck of 52 cards. She randomly selects one card and considers the following events: Event A: picking a card that is a heart; Event B: picking a card that is black Event C: picking a card that is not a spade 16. Are events A and B mutually exclusive? A. Yes B. No C. Maybe D. No answer 17. Are events A and C mutually exclusive? A. Yes B. No C. Maybe D. No answer 18. I roll a regular six-sided die. What is the probability that the score is an odd or prime number? A. 13 B. 12 C. 23 D. 34 19. Suppose A. B, and C are three mutually exclusive events in a sample space S. Given that S AUBUC, (4)=1 5 P(B), and P(C)-4P(A), find P(AUC). A. 23 B. 12 C. 13 D. 15 20. Let A and # be two mutually exclusive events. Given that (4)-0.25 and P(AUS) =0.77, determine P(B). A. 1.02 B. .92 C. .62 D. .52 21. What is the probability of getting exactly 3 heads in 8 flips of a fair coin. A. 1 256 B. 3 256 C. 18 D. 7 32 22. There are 7 students in a class: 2 boys and 5 girls. If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl? A. 1504 B. 1 84 C. 17 D. 27 23. Jason, Hans, and Jose and 4 other students are left in drawing for 3 DVD's. What is the probability that Jason, Hans, and Jose will each win a DVD? A. 1 35 B. 1 120 C. 1210 D. 1 720 24. A 4-digit PIN is selected. What is the probability that there are no repeated digits? A. 1 1000 B. 21 1000 C. 63 125 D. 14 25. Compute the probability of randomly drawing five cards from a deck and getting exactly one Ace. A. 3243 10829 B. 3243 21658 C. 3243 54145 D. 3243 108290 26. You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six. A. 1 36 B. 1 30 C. 16 D. 12 27. There were 12 pink, 7 purple and 9 yellow flowers in a vase. You randomly choose a flower from the vase to take home. Your friend randomly chooses another flower from the vase to take home. What is the probability that you choose a purple flower and your friend chooses a yellow flower? A. 9 112 B. 7 84 C. 27 196 D. 17 28. In a certain company, the probability that an employee is married is 65%. The probability that an employee owns a car is 30%. What is the probability that the employee is married and owns a car? A. 19.5% B. 35% C. 46.15% D. 95% 29. A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then a yellow marble? A. 17 B. 2 15 C. 1 8 D. 15 128 30. A card is drawn from a deck of cards. Then the card is replaced, the deck is reshuffled, and a second card is drawn. What is the probability of getting a 3 on the first draw and a red card on the second draw? A. 1 169 B. 3 104 C. 1 26 D. 16 27