pls help me with this one

S Summative Directions: Identify what is being asked in each question. Write your answer in your paper. 1. How many ways can three boys and three girls be arranged in a circle if the girls must remain next to each other? A. 6 B. 24 C. 36 D. 72 2. How many diferent arrangements can be formed from the letters of the word, EQUATION if Each arrangement begins and ends with a consonant? A. 720 B. 2040 C. 3.100 D. 4.320 3. A Math teacher has 3 Algebra books, 5 Geometry books, 4 Trigonometry books, and 3 Staistion books. I' Statistics, Trigonometry. Algebra, then Geometry books are arranged in that order, In how many ways can this be done? A. 54.305 B. 85,000 C. 103.680 D. 2,488,320 4. A bucket contains 14 marbles in which 4 are red. 3 are blue, 4 are green, and 3 are yellow. How many sets of 4 marbles are there in which none are red, but at least 2 are green? A. 115 B. 303 C. 654 D. 815 5. Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if two particular mathematicians cannot be in the committee? A 70 B. 105 C. 450 D. 915 5. Three coins are tossed. Find the probability of getting at least 1 tail A 78 B. 67 C. 56 D. 45 7. A box contains 7 blue marbles, & red marbles, and 4 white marbles. If a marble is picked at random, what is the probability that it is blue marbles? A 417 B. 6 17 C. 7 17 D. 4 13 8. A committee of three is to be chosen at random from a group of 5 students consisting of 3 boys and 2 girls. What is the probability that a committee consisting of 2 boys and 1 girl will be chosen? A. 1 10 B. 15 C. 3 10 D. 35 9. There are x + 5 red balls, x blue balls, and x + 10 white balls in a box. One ball is selected at random from the box. If the probability that the selected ball is blue is equal to 1 8, what is the value of x? A. 2 B. 3 C. 4 D. S 10. in number 4, there are x + 5 red balls, a blue balls, and x + 10 white balls in a box. One ball is selected at random from the box. If the value of x is 12, what is the probability that the selected ball is while? A. 12 51 B. 17 51 C. 22 51 D. 29 51 1 1. A card is drawn at random from a standard pack of 52 playing cards. Find the probability that the card is a diamond or a queen. A. 13 52 B. 12 C. 313 D. 4 13 12. The probabilities of three teams, SLHS, MHS, and EHS winning a basketball competition are 1 4, 1 7 , and 1 8 respectively. Assuming only one team can win, calculate the probability that neither SLHS or EHS wins. A. 58 B. 49 C. 3 10 D. 211 13. A die is roled. What is the probability of getting a prime number or a factor of 67 26 SKILLED BOOK IN MATHEMATICS 10 A. 23 B. 34 C. 45 D. 56 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 LOU, 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 LOU 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 D: 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 5. Given that 5 AUBUC, (4)-15 P(5), and PIC)-AP(4), find P(AUC). A. 23 B. 12 C. 13 D. 15 20. Let A and # be two mutually exclusive events. Given that (1)-0.25 and P(US) -0.77, determine P(B). A. 1 02 B. .92 C. 82 D. 52 21. What is the probability of getting exactly 3 heads in & flips of a fair coin. A. 1 256 B. 3 256 C. 18 D. 732 22. There are 7 students in a class: 2 boys and S girls. If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl? 1504