CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Probability
Question 1
1.
A die is thrown 560 times. The number 5 appears on the upper face 82 times. Now the die is thrown at random. What is the probability of getting a 5 ?
  • 1
    7
  • 42
    281
  • 239
    280
  • 3
    20
  • 41
    280
Question 2
2.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 10
      • 14
      • 27
      • 2
      • 7
      • 5
      • 4
      • 30
      • 29
      • 20
      • 22
      • 14
      • 26
      • 22
    • What is the empirical probability that an engineer lives less than 26 km from her place of work?
  • 5
    7
  • 2
    7
  • 3
    4
  • 6
    7
  • 4
    7
Question 3
3.
    • A die is thrown 370 times with the frequencies for outcomes 1, 2, 3, 4, 5 and 6 as given in the following table
    • Outcome
      1
      2
      3
      4
      5
      6
      Frequency
      30
      50
      65
      70
      75
      80
    • If the die is thrown again randomly, find the probability of getting 2 as outcome.
  • 32
    37
  • 3
    19
  • 5
    37
  • 4
    37
  • 6
    37
Question 4
4.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 4
      • 27
      • 14
      • 26
      • 8
      • 26
      • 27
      • 20
    • What is the empirical probability that an engineer lives greater than 14 km from her place of work?
  • 5
    8
  • 2
    3
  • 3
    8
  • 3
    4
  • 1
    2
Question 5
5.
Which of the following experiments have equally likely outcomes?
a)
A true/false question is attempted. The answer is either right or wrong
b)
A man throws a die. The number on the top is either 5 or not 5
c)
A man starts his vehicle. It starts or it does not starts
d)
A baby is born. It is a boy or girl
e)
A ball is hit. It reaches the boundary or not
  • {c,d}
  • {a,d}
  • {e,b,a}
  • {b,a}
  • {c,d,a}
Question 6
6.
Which of the following are true?
a)
    • P(E) - P(
    •  

      E
       
       
    • ) = 0
b)
    • P(E) + P(not E) = 1
c)
    • P(E) + P(
    •  

      E
       
       
    • ) = 0
d)
    • P(E) = 1 - P(
    •  

      E
       
       
    • )
e)
    • P(E) - P(not E) = 0
  • {a,b}
  • {e,a,b}
  • {c,d}
  • {b,d}
  • {c,d,b}
Question 7
7.
    • The following table shows the blood-groups of 378 students of a class.
    • Blood group
      B
      O
      AB
      A
      Number of students
      54
      99
      108
      117
    • One student of the class is choosen at random. What is the probability that the choosen student has blood group 'A' ?
  • 1
    3
  • 2
    7
  • 14
    43
  • 13
    42
  • 29
    42
Question 8
8.
A survey of 50 men showed that only 20 of them know French. Out of these men, if one is selected at random, what is the probability that the selected man knows French?
  • 1
    5
  • 3
    5
  • 2
    5
  • 1
    2
Question 9
9.
A coin is tossed 100 times and tail appears 70 times. If the coin is tossed again, what is the probability of getting a head?
  • 3
    10
  • 4
    11
  • 1
    5
  • 7
    10
  • 2
    5
Question 10
10.
Two coins are tossed simultaneously 100 times and it was observed that both heads appeared 70 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
  • 3
    10
  • 3
    5
  • 4
    5
  • 8
    11
  • 7
    10