Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f3f59b460d7261f507.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 10000 – 13000 per month and owning exactly 2 vehicles.

Question 2 :
<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 3 :
<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 4 :
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 one head.

Question 5 :
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 6 :
<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 7 :
<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 8 :
True or false. The uncertainty of ‘probably’ can be measured numerically by means of ‘probability’.

Question 9 :
<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 10 :
<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 11 :
<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 12 :
<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 13 :
<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 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eef59b460d7261f4ff.JPG' /> From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability of the event that a student weighs 30 kg.

Question 15 :
<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 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4fa.JPG' /> From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability of a student weighing more than 30 kg.

Question 17 :
<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 18 :
<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 19 :
<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 20 :
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 21 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by x is-

Question 28 :
Is $x=-1,2$ a zero of $p(x) = (x + 1) (x – 2)$?

Question 29 :
The zero of the polynomial p(x) = x + 5 is-

Question 31 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by 5 + 2x is-

Question 32 :
The zero of the polynomial p(x) = 2x + 5 is-

Question 33 :
State true or false: $(x+y)^2 = x^2 + 2xy + y^2$.

Question 36 :
What is the value of p(2) for the polynomial $p(t)=2+t+2t^2-t^3$ ?

Question 37 :
Factors of $4x^2+ 9y^2 + 16z^2 + 12xy – 24yz – 16xz$ are-

Question 38 :
The zero of the polynomial p(x) = x – 5 is-

Question 39 :
If x – 1 is a factor of $p(x) = kx^2– 3x + k$ , k is-