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Page 1 ? ? Q u e s t i o n : 1 9 In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he / she has a high school certificate? a 1 2 b 3 5 c 7 10 d 4 5 S o l u t i o n : Total number of people surveyed = 645 Number of people who have a high school certificate = 516 ? PPersonhasahighschoolcertificate = Number of people who have a high school certificate Total number of people surveyed = 516 645 = 4 5 Hence, the correct answer is option d . Q u e s t i o n : 2 0 In a medical examination of students of a class, the following blood groups are recorded: Blood group A B AB O Number of students 11 15 8 6 From this class, a student is chosen at random. What is the probability that the chosen student has blood group AB? a Page 2 ? ? Q u e s t i o n : 1 9 In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he / she has a high school certificate? a 1 2 b 3 5 c 7 10 d 4 5 S o l u t i o n : Total number of people surveyed = 645 Number of people who have a high school certificate = 516 ? PPersonhasahighschoolcertificate = Number of people who have a high school certificate Total number of people surveyed = 516 645 = 4 5 Hence, the correct answer is option d . Q u e s t i o n : 2 0 In a medical examination of students of a class, the following blood groups are recorded: Blood group A B AB O Number of students 11 15 8 6 From this class, a student is chosen at random. What is the probability that the chosen student has blood group AB? a b c d S o l u t i o n : c Explanation: Total number of students = 40 Number of students with blood group AB = 8 Let E be the event that the selected student's blood group is AB. ? Required probability = P(E) = 8 40 = 1 5 Q u e s t i o n : 2 1 80 bulbs are selected at random from a lot and their lifetime is hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that its life is 1150? a 1 80 b 7 16 c 1 d 0 S o l u t i o n : d 0 Maximum lifetime a bulb has is 1100 hours. There is no bulb with lifetime 1150 hours. Q u e s t i o n : 2 2 In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is 13 20 3 8 1 5 11 40 1 5 = 0. 35 Page 3 ? ? Q u e s t i o n : 1 9 In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he / she has a high school certificate? a 1 2 b 3 5 c 7 10 d 4 5 S o l u t i o n : Total number of people surveyed = 645 Number of people who have a high school certificate = 516 ? PPersonhasahighschoolcertificate = Number of people who have a high school certificate Total number of people surveyed = 516 645 = 4 5 Hence, the correct answer is option d . Q u e s t i o n : 2 0 In a medical examination of students of a class, the following blood groups are recorded: Blood group A B AB O Number of students 11 15 8 6 From this class, a student is chosen at random. What is the probability that the chosen student has blood group AB? a b c d S o l u t i o n : c Explanation: Total number of students = 40 Number of students with blood group AB = 8 Let E be the event that the selected student's blood group is AB. ? Required probability = P(E) = 8 40 = 1 5 Q u e s t i o n : 2 1 80 bulbs are selected at random from a lot and their lifetime is hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that its life is 1150? a 1 80 b 7 16 c 1 d 0 S o l u t i o n : d 0 Maximum lifetime a bulb has is 1100 hours. There is no bulb with lifetime 1150 hours. Q u e s t i o n : 2 2 In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is 13 20 3 8 1 5 11 40 1 5 = 0. 35 a 1 4 b 1 2 c 3 4 d 4 5 S o l u t i o n : Total number of children surveyed = 364 Number of children who liked to eat potato chips = 91 Number of children who do not liked to eat potato chips = 364 - 91 = 273 ? PChilddoesnotliketoeatpotatochips = Number of children who do not liked to eat potato chips Total number of children surveyed = 273 364 = 3 4 Hence, the correct answer is option c . Q u e s t i o n : 2 3 Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads 2 1 0 Frequency 200 550 250 Now, if two coins are tossed at random, what is the probability of getting at most one head? a 3 4 b 4 5 c 1 4 d 1 5 S o l u t i o n : Page 4 ? ? Q u e s t i o n : 1 9 In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he / she has a high school certificate? a 1 2 b 3 5 c 7 10 d 4 5 S o l u t i o n : Total number of people surveyed = 645 Number of people who have a high school certificate = 516 ? PPersonhasahighschoolcertificate = Number of people who have a high school certificate Total number of people surveyed = 516 645 = 4 5 Hence, the correct answer is option d . Q u e s t i o n : 2 0 In a medical examination of students of a class, the following blood groups are recorded: Blood group A B AB O Number of students 11 15 8 6 From this class, a student is chosen at random. What is the probability that the chosen student has blood group AB? a b c d S o l u t i o n : c Explanation: Total number of students = 40 Number of students with blood group AB = 8 Let E be the event that the selected student's blood group is AB. ? Required probability = P(E) = 8 40 = 1 5 Q u e s t i o n : 2 1 80 bulbs are selected at random from a lot and their lifetime is hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that its life is 1150? a 1 80 b 7 16 c 1 d 0 S o l u t i o n : d 0 Maximum lifetime a bulb has is 1100 hours. There is no bulb with lifetime 1150 hours. Q u e s t i o n : 2 2 In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is 13 20 3 8 1 5 11 40 1 5 = 0. 35 a 1 4 b 1 2 c 3 4 d 4 5 S o l u t i o n : Total number of children surveyed = 364 Number of children who liked to eat potato chips = 91 Number of children who do not liked to eat potato chips = 364 - 91 = 273 ? PChilddoesnotliketoeatpotatochips = Number of children who do not liked to eat potato chips Total number of children surveyed = 273 364 = 3 4 Hence, the correct answer is option c . Q u e s t i o n : 2 3 Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads 2 1 0 Frequency 200 550 250 Now, if two coins are tossed at random, what is the probability of getting at most one head? a 3 4 b 4 5 c 1 4 d 1 5 S o l u t i o n : Total number of times two coins are tossed = 1000 Number of times of getting at most one head = Number of times of getting 0 heads + Number of times of getting 1 head = 250 + 550 = 800 ? PGettingatmostonehead = Number of times of getting at most one head Total number of times two coins are tossed = 800 1000 = 4 5 Hence, the correct answer is option b . Q u e s t i o n : 2 4 80 bulbs are selected at random from a lot and their lifetime in hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that the selected bulb has a life more than 500 hours? a b c d S o l u t i o n : b Explanation: Total number of bulbs in the lot = 80 Number of bulbs with life time of more than 500 hours = 23 +25 +10 = 58 Let E be the event that the chosen bulb's life time is more than 500 hours. ? Required probability = P(E) = 58 80 = 29 40 Q u e s t i o n : 2 5 To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under. Opinion like dislike 27 40 29 40 5 16 11 40 29 40 Page 5 ? ? Q u e s t i o n : 1 9 In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he / she has a high school certificate? a 1 2 b 3 5 c 7 10 d 4 5 S o l u t i o n : Total number of people surveyed = 645 Number of people who have a high school certificate = 516 ? PPersonhasahighschoolcertificate = Number of people who have a high school certificate Total number of people surveyed = 516 645 = 4 5 Hence, the correct answer is option d . Q u e s t i o n : 2 0 In a medical examination of students of a class, the following blood groups are recorded: Blood group A B AB O Number of students 11 15 8 6 From this class, a student is chosen at random. What is the probability that the chosen student has blood group AB? a b c d S o l u t i o n : c Explanation: Total number of students = 40 Number of students with blood group AB = 8 Let E be the event that the selected student's blood group is AB. ? Required probability = P(E) = 8 40 = 1 5 Q u e s t i o n : 2 1 80 bulbs are selected at random from a lot and their lifetime is hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that its life is 1150? a 1 80 b 7 16 c 1 d 0 S o l u t i o n : d 0 Maximum lifetime a bulb has is 1100 hours. There is no bulb with lifetime 1150 hours. Q u e s t i o n : 2 2 In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is 13 20 3 8 1 5 11 40 1 5 = 0. 35 a 1 4 b 1 2 c 3 4 d 4 5 S o l u t i o n : Total number of children surveyed = 364 Number of children who liked to eat potato chips = 91 Number of children who do not liked to eat potato chips = 364 - 91 = 273 ? PChilddoesnotliketoeatpotatochips = Number of children who do not liked to eat potato chips Total number of children surveyed = 273 364 = 3 4 Hence, the correct answer is option c . Q u e s t i o n : 2 3 Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads 2 1 0 Frequency 200 550 250 Now, if two coins are tossed at random, what is the probability of getting at most one head? a 3 4 b 4 5 c 1 4 d 1 5 S o l u t i o n : Total number of times two coins are tossed = 1000 Number of times of getting at most one head = Number of times of getting 0 heads + Number of times of getting 1 head = 250 + 550 = 800 ? PGettingatmostonehead = Number of times of getting at most one head Total number of times two coins are tossed = 800 1000 = 4 5 Hence, the correct answer is option b . Q u e s t i o n : 2 4 80 bulbs are selected at random from a lot and their lifetime in hours is recorded as under. Lifetime inhours 300 500 700 900 1100 Frequency 10 12 23 25 10 One bulb is selected at random from the lot. What is the probability that the selected bulb has a life more than 500 hours? a b c d S o l u t i o n : b Explanation: Total number of bulbs in the lot = 80 Number of bulbs with life time of more than 500 hours = 23 +25 +10 = 58 Let E be the event that the chosen bulb's life time is more than 500 hours. ? Required probability = P(E) = 58 80 = 29 40 Q u e s t i o n : 2 5 To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under. Opinion like dislike 27 40 29 40 5 16 11 40 29 40 Number of students 135 65 What is the probability that a student chosen at random does not like it? a 13 27 b 27 40 c 13 40 d 27 13 S o l u t i o n : Total number of students surveyed = 200 Number of students who does not like the subject Sanskrit = 65 ? PStudentchosenatrandomdoesnotlikethesubjectSanskrit = Number of students who does not like the subject Sanskrit Total number of students surveyed = 65 200 = 13 40 Hence, the correct answer is option c . Q u e s t i o n : 2 6 A coin is tossed 60 times and the tail appears 35 times. What is the probability of getting a head? a 7 12 b 12 7 c 5 12 d 1 25 S o l u t i o n : c 5 12Read More
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