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. 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 1/6 2/3 1/3 2. 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 0.80 0.10 0.40 3. A bag contains 4 red, 8 green and 6 blue ball of identical size. The probability that a ball selected randomly is either red or green is 2/9 1/3 2/3 4/9 4. A coin and a dice are thrown together. Find the probability of getting a head and a score greater than 4 1/2 1/6 1/4 1/12 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? 11/24 16/19 12/21 1/2 6. A bag containing 5 red balls and 3 green balls. Two balls are picked, one after the other, with replacement. The probability that the two balls selected are of different colours is 1/8 15/32 15/64 17/32 7. A coin is tossed 3 times.What is the probability of getting three tails? 1/8 3/8 1/2 1/4 8. 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 9. 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 not 6 marks 1/4 7/8 1/8 27/40 10. Two dice, one red and the other blue are rolled together. Find the probability of getting two odd numbers 1/4 1/6 1/5 1/3 11. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is either a multiple of 3 or a multiple of 5 1/2 11/20 3/10 9/20 12. A coin is tossed 3 times. What is the probability of getting 2 heads and a tail in any order? 1/4 3/8 1/8 1/2 13. Two dice, one red and the other blue are rolled together. Find the probability of obtaining a total score divisible by 3 1/2 1/3 1/5 1/4 14. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is equal to or greater than 15? 7/10 3/10 3/4 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 both are red? 77/100 9/100 71/100 27/100 16. Four of the faces of a fair die are coloured black and the remaining two faces are coloured white. On throwing the die two consecutive times, the probability that both throws will show a black face is 2/3 4/9 2/9 1/9 17. Two numbers are drawn randomly from the four numbers 1, 3, 5 and 8. The probability that the sum of the two is not odd 1/4 2/3 1/2 1/3 18. Two dice, one red and the other blue are rolled together. Find the probability of getting two prime numbers 1/5 1/6 1/4 1/3 19. 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 blue 11 12 14 13 20. A coin and a dice are thrown together. Find the probability of getting a head and a prime number 1/6 1/2 1/4 1/12 21. 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? 12 7 4 24 22. Cards are drawn from a pack of 52 playing cards one at a time. Calculate the probability of drawing without replacement at least one red card 31/102 17/102 77/102 1/102 23. A ball is selected and replaced in a bag containing blue, green and red identical balls. The results of 50 selections are shown belowColor of ball Blue Green RedNo. of occurrences 8 15 27The experimental probability of picking either a blue or a red ball is 0.54 0.30 0.16 0.70 24. 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? 3 9 12 6 25. Mrs Jones is expecting a baby. If the probability it'll be a boy is 1/2 and probability that the baby will have blues eyes is 1/4. What is the probability that she will have a blue-eyed baby boy? 3/8 1/3 1/8 1 out of 25 Time is Up! Time's up