CBSE Board Practice

CBSE Grade IX - Probability
Question 1
1.
A die is thrown 460 times. The number 3 appears on the upper face 68 times. Now the die is thrown at random. What is the probability of getting a 3 ?
  • 9

    58
  • 98

    115
  • 17

    115
  • 18

    115
  • 16

    115
Question 2
2.
    • The following table shows the blood-groups of 342 students of a class.
    • Blood group
      AB
      B
      A
      O
      Number of students
      45
      72
      108
      117
    • One student of the class is choosen at random. What is the probability that the choosen student has blood group 'A' ?
  • 7

    19
  • 5

    19
  • 7

    20
  • 13

    19
  • 6

    19
Question 3
3.
Two players Maya and Bharathi play a tennis match. It is known that the probability of Maya winning the match is 0.50. What is the probability of Bharathi winning the match?
  • 3

    4
  • 2

    3
  • 4

    5
  • 5

    6
  • 1

    2
Question 4
4.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 19
      • 30
      • 6
      • 12
      • 15
      • 9
      • 11
      • 25
      • 14
      • 14
      • 2
      • 13
      • 20
      • 30
      • 12
    • What is the empirical probability that an engineer lives less than 2 km from her place of work?
  • 1

    4
  • 0
  • 1
  • 3

    4
  • 1

    2
Question 5
5.
Which of the following experiments have equally likely outcomes?
a)
A man starts his vehicle. It starts or it does not starts
b)
A man throws a die. The number on the top is either 2 or not 2
c)
A true/false question is attempted. The answer is either right or wrong
d)
A baby is born. It is a boy or girl
e)
A ball is hit. It reaches the boundary or not
  • {c,d}
  • {b,d,c}
  • {b,d}
  • {a,c}
  • {e,a,c}
Question 6
6.
Which of the following are possible values of probability?
a)
-4.2
b)
9

1
c)
7

8
d)
5
e)
0.43
  • {d,a,c}
  • {b,e,c}
  • {c,e}
  • {b,e}
  • {a,c}
Question 7
7.
In a lottery, there are 11 prizes and 14 blanks. What is the probability of not getting a prize?
  • 14

    25
  • 3

    5
  • 13

    25
  • 15

    26
  • 11

    25
Question 8
8.
    • Three coins are tossed simultaneously 190 times with the following frequencies of different outcomes :
    • Outcome
      3 heads
      2 heads
      1 heads
      No heads
      Frequency
      25
      50
      55
      60
    • If the three coins are simultaneously tossed again, compute the probability of '3 heads' coming up.
  • 2

    13
  • 5

    38
  • 33

    38
  • 3

    19
  • 2

    19
Question 9
9.
There are 54 students in a class room of whom 34 are boys and 20 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?
  • 11

    28
  • 17

    27
  • 10

    27
  • 11

    27
  • 1

    3
Question 10
10.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 9
      • 25
      • 7
      • 21
      • 6
      • 23
      • 8
      • 7
    • What is the empirical probability that an engineer lives greater than 8 km from her place of work?
  • 4

    5
  • 1

    2
  • 5

    6
  • 3

    4
  • 2

    3