NCERT class 9 maths chapter 15 Probability
Question 1: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.
Exercise 15.1 maths class 9 Chapter 15 Probability
Question 2:1500 families with 2 children were selected randomly, and the following data were recorded: Number of girls in a family 2 1 0 Number of families 475 814 211 Compute the probability of a family, chosen at random, having (i) 2 girls (ii) 1 girl (iii) No girl Also check whether the sum of these probabilities is 1.
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Question 3:Refer to Example 5, Section 14.4, Chapter 14. Find the probability that a student of the class was born in August.
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Question 4:Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Outcome 3 heads 2 heads 1 head No head Frequency 23 72 77 28 If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.
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Question 5: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 listed in the table below: Monthly income V e hicles per family (in ) 0 1 2 Above 2 Less than 7000 10 160 25 0 7000 – 10000 0 305 27 2 10000 – 13000 1 535 29 1 13000 – 16000 2 469 59 25 16000 or more 1 579 82 88 Suppose a family is chosen. Find the probability that the family chosen is (i) earning 10000 – 13000 per month and owning exactly 2 vehicles. (ii) earning 16000 or more per month and owning exactly 1 vehicle. (iii) earning less than 7000 per month and does not own any vehicle. (iv) earning 13000 – 16000 per month and owning more than 2 vehicles. (v) owning not more than 1 vehicle.
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Question 6:Refer to Table 14.7, Chapter 14. (i) Find the probability that a student obtained less than 20% in the mathematics test. (ii) Find the probability that a student obtained marks 60 or above.
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Question 7:To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. Opinion Number of students like 135 dislike 65 Find the probability that a student chosen at random (i) likes statistics, (ii) does not like it.
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Question 8:Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives: (i) less than 7 km from her place of work? (ii) more than or equal to 7 km from her place of work? (iii) within 1 2 km from her place of work?
EXERCISE 15.11. In a cricket match, a batswoman hi
Question 9:Activity : Note the frequency of two-wheelers, three-wheelers and four-wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.
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Question 10:Activity : Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.
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Question 11:Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg): 4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00 Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
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Question 12:In Q.5, Exercise 14.2, 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.
Question 13:In Q.1, Exercise 14.2, 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.