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61. A bag has 4-red balls and 2 yellow balls such that the balls are identical in all repeats other than colour. A ball is drawn from the bag without looking into the bag. What is the probability of getting yellow ball?

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62. Given below are the marks obtained by 30 students of a class in a test.
10, 8, 12, 17, 19, 17, 41, 40, 12, 46, 37, 17, 1, 9, 21, 13, 48, 12, 21, 19, 33, 5, 38, 39, 19, 23, 2, 6, 30, 27.
Using tally marks prepare a frequency table such that 20-30 is a class interval.

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Long Answer Type

63. Study the following frequency table and answer the questions given below.
(i) What is the class interval?
(ii) Which class has the lowest frequency?
(iii) Which class has the highest frequency?
(iv) Which two classes have the same frequency?
(v) What is the lower limit of the class-interval 300-325?
(vi) What is the upper limit of the class interval 275—300?

(i) The class interval
= [Upper limit of a class] - [Lower limit of the same class]
= 225 – 200
= 25
(ii) The class 300-325 is having the lowest frequency (which is 17).
(iii) The class 375-400 is having is the heighest frequency (which is 120).
(iv) The class intervals 275-300 and 350-375 have the same frequency (which is 45).
(v) The lower limit of the class interval 300-325 is 300.
(vi) The upper limit of the class interval 275-300 is 300.

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Short Answer Type

64. Observe the following histogram and answer the questions given below:

(i) What information is being given by the histogram?
(ii) Which group contains the maximum students?
(iii) How many students have a height of 160 cm and more?
(iv) What is the ratio of the number students in 130-140 cm group and the number of students in 160–170 cm groups?

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65.

Look at the adjoining circle graph and answer the following questions.
(i) What is the central angle corresponding to the activities "school and home work"?
(ii) Find the fraction of the circle representing each of these given information.

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Long Answer Type

66. On a particular day, the sales (in rupees) of different items of a store are given below:
Calculators : 8000
Cell phones : 22000
Cell phones batteries : 4000
Cell phones chargers : 2000
Draw a pie-chart for the above data.

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67. The adjoining pie-chart shows the findings of a survey in respect of type of music that a certain group of young people liked in a city. From this pie chart answer the following:
(i) If 30 people liked the folk dance, how many people were surveyed?
(ii) Which types of music is liked by the minimum number of people?
(iii) Which type of music is liked by the maximum number of people?
(iv) If a cassette company were to make 1000 CD's how many of each type would they make?

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68. The number of students in hostel, speaking different languages is given below. Display the data by a pie chart:

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69.

Numbers 1 to 10 are written on ten separate cards such that one number on one slip. These are mixed well and one slip is chosen from the box without looking into it. What is the probability of:
(i) getting a card on which 7 is written?
(ii) getting a card having two-digit number on it?
(iii) getting a number less than 5?
(iv) getting a number more than 5?

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70.

When a die is thrown, list the outcomes of an event of getting:
(i) A number less than 5.
(ii) A composite number.
(iii) A prime number.
(iv) A number more than 3.

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