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. Two fair dice are thrown together. The probability that the two dice will show the same number of points is 1/3 1/6 1/36 1/2 2. Henry throws a coin twice. The coin is biased so the probability of landing a head is 2/5. Find the probability that Henry throws a tail and a head (in any order) 9/25 1/2 3/4 12/25 3. Two dice, one red and the other blue are rolled together. Find the probability of obtaining a total score divisible by 3 1/5 1/4 1/3 1/2 4. A box contains 5 blue balls, 3 black balls and 2 red balls of the same size. A ball is selected at random from the box and then replaced. A second ball is then selected. Find the probability of obtaining two red balls 3/25 1/25 9/25 7/25 5. Three boys play a game of luck in which their respective chances of winning are 1/2, 1/3 and 1/4. What is the probability that one and only one of the boys wins the game? 16/19 12/21 11/24 1/2 6. A box contains yellow, blue and white counters. The probability of picking a yellow counter is 3/8 and the probability of picking a blue counter is 35%.If there are 40 counters in the box, find the number that is yellow 14 16 11 15 7. Of the 30 students in a class, 8 surnames begin with A or O and 18 begin with a consonant.No surname begins with any of the letters C,Q,U, V,X,Y and Z.The probability that a surname selected randomly begins with E or I is 2/15 13/15 4/15 3/5 8. The probability of obtaining a number less than 5 in a single toss of a fair die is 2/3 1/2 1/3 1/6 9. A letter is chosen at random from the alphabet.Find the probability that it is T or H 1/13 10/13 4/13 1/2 10. 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? 7/50 9/100 19/100 27/100 11. How many different three-digit numbers can be formed using integers 1 to 6 if no integer occurs twice in a number? 120 20 60 240 12. A box contains 2 green and 3 red balls of identical size. If two balls are picked randomly, one after the other, without replacement, the probability of picking two balls of different colours is 2/3 3/5 2/5 7/20 13. Two dice, one red and the other blue are rolled together. Find the probability of getting two prime numbers 1/6 1/4 1/3 1/5 14. The table below shows the frequency distribution of marks obtained by 40 students in a testIf a student is selected at random, find the probability that he scored at least 7 marks 7/8 27/40 1/8 1/4 15. 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 they are of the same colour? 9/100 19/100 27/100 71/100 16. 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 3/11 3/8 1/2 2/3 17. 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 1/3 3/4 11/12 1 18. Two dice, one red and the other blue are rolled together. Find the probability of getting two odd numbers 1/4 1/6 1/3 1/5 19. 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 12 18 72 20. Two events M and N are mutually exclusive and P(M) = ¼ and P(N) = 2/3.P(M∪N) is 11/12 1/2 1 1/12 21. 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 8/225 4/91 22. 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? 1/3 2/3 4/9 5/9 23. A figure is selected randomly from a group of figures consisting of a square, a triangle, a rectangle, a trapezium and a rhombus. The probability that the figure selected is a parallelogram is 4/5 1/5 2/5 3/5 24. A card is drawn from an ordinary pack of 52 playing cards. Find the probability that it is a Queen of Hearts 3/52 4/13 1/52 9/13 25. The probabilities that a husband and his wife will be alive in 10 years time is 0.7 and 0.8 respectively.What is the probability that at that time both of them would be alive 0.3 0.8 0.56 0.06 1 out of 25 Time is Up! Time's up