Question 1 :
A coin is tossed 1000 times with the following frequencies: Head : 455, Tail : 545. Compute the probability of the event of getting a Head.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e8f59b460d7261f4f6.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 2
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f9f59b460d7261f50f.JPG' />
Refer to the above image. To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the above image. Find the probability that a student chosen at random likes statistics.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e6f59b460d7261f4f4.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 3
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eff59b460d7261f501.JPG' />
Refer to the above image. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The above image shows the results of 1000 cases. If you buy a tyre of this company, what is the probability that it will need to be replaced before it has covered 4000 km?
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f0f59b460d7261f502.JPG' />
Refer to the above image. Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of 49 seeds in a bag?
Question 7 :
Two coins are tossed simultaneously 500 times, and we get Two heads : 105 times, One head : 275 times, No head : 120 times. Find the probability of getting NO head.
Question 8 :
A coin is tossed 1000 times with the following frequencies: Head : 455, Tail : 545. Compute the probability of the event of getting a tail.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ebf59b460d7261f4fb.JPG' />
Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of more than 40 seeds in a bag?
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fbf59b460d7261f513.JPG' />
Refer to the above image. What is the empirical probability that an engineer lives more than or equal to 7 km from her place of work?
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e6f59b460d7261f4f3.JPG' />
On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in the above image. Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is 6?
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1edf59b460d7261f4fe.JPG' />
From the above image, the percentage of marks obtained by a student in the monthly unit tests are mentioned in the image. Based on this data, find the probability that the student gets more than 70% marks in a unit test.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e9f59b460d7261f4f8.JPG' />
Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city having no accidents in one year.
Question 14 :
Two coins are tossed simultaneously 500 times, and we get Two heads: 105 times, One head: 275 times, No head: 120 times. Find the probability of the event of getting two heads.
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fdf59b460d7261f515.JPG' />
Refer to the above image. What is the empirical probability that an engineer lives within $\frac{1}{2}$ km from her place of work?
Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fdf59b460d7261f516.JPG' />
From the above image, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e4f59b460d7261f4f1.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 6.
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f5f59b460d7261f509.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning Rs16000 or more per month and owning exactly 1 vehicle.
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4f9.JPG' />
Refer to the above image. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The above image shows the results of 1000 cases. If you buy a tyre of this company, what is the probability that it will last more than 9000 km?
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eff59b460d7261f500.JPG' />
Refer to the above image. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The above image shows the results of 1000 cases. If you buy a tyre of this company, what is the probability that it will need to be replaced after it has covered somewhere between 4000 km and 14000 km?
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ecf59b460d7261f4fc.JPG' />
Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabillity of the event for a driver chosen at random from the city being 18-29 years of age and having exactly 3 accidents in one year.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f5f59b460d7261f50a.JPG' />
Refer to the above image. In a particular section of Class IX, 40 students were asked about the months of their birth Find the probability that a student of the class was born in August.
Question 23 :
In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f8f59b460d7261f50e.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning Rs 13000 – 16000 per month and owning more than 2 vehicles.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ecf59b460d7261f4fd.JPG' />
Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city being 30-50 years of age and having one or more accidents in a year.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f4f59b460d7261f508.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning less than Rs 7000 per month and does not own any vehicle.
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1faf59b460d7261f511.JPG' />
Refer to the above image. To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the above image. Find the probability that a student chosen at random does not like it.
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f2f59b460d7261f505.JPG' />
From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having 2 girls.
Question 29 :
The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times. What is the probability that on a given day it was correct?
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e8f59b460d7261f4f7.JPG' />
From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability that the weight of a student in the class lies in the interval 46-50 kg.
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e4f59b460d7261f4f0.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 1.
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f7f59b460d7261f50c.JPG' />
From the above image, find the probability that a student obtained less than 20% in the mathematics test.
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f7f59b460d7261f50d.JPG' />
From the above image, find the probability that a student obtained marks 60 or above.
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f6f59b460d7261f50b.JPG' />
Refer to the above image. Three coins are tossed simultaneously 200 times with the following frequencies of different outcome as shown in the above image. If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f1f59b460d7261f504.JPG' />
From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having 1 girl.
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e5f59b460d7261f4f2.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 4
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e7f59b460d7261f4f5.JPG' />
Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 5
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f9f59b460d7261f510.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is owning not more than 1 vehicle.
Question 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f1f59b460d7261f503.JPG' />
Refer to the above image. Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of more that 35 seeds in a bag?
Question 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fcf59b460d7261f514.JPG' />
From the above image. you were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12 - 0.16 on any of these days.
