CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Probability
Question 1
1.
Two unbiased dice are thrown simultaneously. Find the probability of getting 11 as the sum of the two numbers on the dice.
  • 1
    18
  • 0
  • 17
    18
  • 2
    19
  • 1
    9
Question 2
2.
Which of the following are true?
a)
    • The probability of an unsure event is 0
b)
    • The probability of an imposible event can be > 1
c)
    • The probability of a sure event is 1
d)
    • The probability of an impossible event is 1
e)
    • For an event E, we have 0
    • ≤
    • P(E)
    • ≤
    • 1
  • {a,c}
  • {b,e}
  • {c,e}
  • {b,e,c}
  • {d,a,c}
Question 3
3.
There are 56 students in a class room of whom 24 are boys and 32 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?
  • 2
    7
  • 1
    2
  • 3
    7
  • 4
    7
Question 4
4.
A box contains 60 discs which are numbered from 1 to 60. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
  • 2
    5
  • 1
    5
  • 0
  • 1
    3
  • 4
    5
Question 5
5.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 1
    4
  • 1
    2
  • 1
  • 4
    5
  • 3
    4
Question 6
6.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 3
    4
  • 2
    3
  • 4
    5
  • 1
    2
  • 5
    6
Question 7
7.
A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • 9
    70
  • 61
    70
  • 62
    71
  • 6
    7
  • 31
    35
Question 8
8.
An unbiased die is thrown once. Find the probability of getting a 6?
  • 1
    6
  • 1
    3
  • 0
  • 2
    7
  • 5
    6
Question 9
9.
74 cards are numbered 1,2,3,....74 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is greater then 22?
  • 27
    37
  • 25
    37
  • 27
    38
  • 11
    37
  • 26
    37
Question 10
10.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 9
      • 19
      • 20
      • 6
      • 13
      • 8
      • 7
      • 15
      • 24
      • 22
      • 15
      • 7
      • 13
      • 8
      • 23
    • What is the empirical probability that an engineer lives less than 6 km from her place of work?
  • 1
    4
  • 0
  • 3
    4
  • 1
  • 1
    2