28/03/2020 Probability(Senior Class Maths Study by Topics) 28/03/2020 0Comments by Gate Academy Welcome to your Probability(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The probability of an event X is 2/3 and that of another event Y is 1/4. If the probability of either X or Y is 3/4 1/3 1 11/12 2. A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.In how many ways can she select her courses so that she takes exactly two courses in Physics? 4 7 12 24 3. The data below shows the distribution of workers in a certain secondary school. Teacher 30 Gardeners 15Typists 9 Cleaners 6Clerks 12 Messengers 3If one of the workers is absent from work on one particular day, the probability that he is a clerk is 2/25 1/25 3/25 4/25 4. A bag contains 6 red balls, 12 white balls and 9 green balls. A ball is selected at random. What is the probability that it is a green ball? 5/9 1/3 2/3 4/9 5. A group of 40 adults read either newspapers or magazines. If 20 read newspapers and 35 read magazines, the probability that one of them reads both newspapers and magazines is 3/8 1/2 2/3 3/11 6. A bag contains 6 red balls, 9 blue balls and 5 green balls.Two balls are chosen one after the other with replacement. What is the probability that one is blue, the other is green? 9/100 19/100 7/50 27/100 7. Two dice, one red and the other blue are rolled together. How many possible outcomes altogether 34 24 26 36 8. A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.In how many ways can she select her courses so that she takes at least two courses in Physics? 6 72 12 18 9. A bag contains only gala and royal apples. The probability of picking a gala at random is 0.3. Find the probability of picking a royal apple 0.7 0.6 0.8 0.9 10. P is a probability function of an exhaustive set S = {w, x, y, z}. If P(x) = 1/4, P(y) = 1/3, P(z) = 1/6, then P(w) is 1/72 1/12 1/4 3/4 11. A coin is tossed 3 times. What is the probability of getting 2 heads and a tail in any order? 1/2 3/8 1/4 1/8 12. Three guests X, Y and Z arrive in that order for a dinner party. If guests are served randomly, the probability that the three guests will be served in the sequence of their arrival is 1/2 2/3 1/6 1/3 13. A letter is chosen at random from the alphabet. Find the probability that it is not one of the letters of the word DIAMOND 4/13 10/13 1/13 1/2 14. A container has 32 blue pens, 28 black pens and 20 red pens. If a pen is selected at random, what is the probability that it is not a red pen? 3/4 1/20 11/20 15. Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls.The probability that the three balls are: one blue, one white and one red is 16/225 1/3 4/91 8/225 16. A bag contains 6 red balls, 12 white balls and 9 green balls. A ball is selected at random. What is the probability that it is not a green ball? 1/3 4/9 5/9 2/3 17. A bag contains 6 red balls, 9 blue balls and 5 green balls. Two balls are chosen one after the other with replacement.What is the probability that both are red? 71/100 77/100 27/100 9/100 18. A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.In how many ways can she select her courses if she insists on taking all four Mathematics courses? 6 9 12 3 19. A bag containing 5 red balls and 3 green balls. Two balls are picked, one after the other, with replacement. The probability that both are the same colour is 17/32 25/64 15/64 9/64 20. Two events M and N are mutually exclusive and P(M) = ¼ and P(N) = 2/3.P(M∪N) is 1/12 1 11/12 1/2 21. A coin is tossed 3 times.What is the probability of getting three tails? 3/8 1/4 1/2 1/8 22. What is the probability of throwing a number greater than 2 with a single in a fair die 1/2 1/3 2/3 4/5 23. A die is rolled 100 times with the following outcomes:Number 1 2 3 4 5 6Frequency 15 20 18 14 17 16The experimental probability of obtaining a 2 is 0.20 0.10 0.40 0.80 24. The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor a S is 8/11 1/2 3/11 6/11 25. Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls.The probability that all three balls are the same colour is 4/455 2/91 34/455 4/91 1 out of 25 Time is Up! Time's up