CBSE Board Practice

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CBSE Grade X - Probability
Question 1
1.
85 cards are numbered 1,2,3,....85 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 less then 27?
  • 27
    86
  • 27
    85
  • 26
    85
  • 5
    17
  • 59
    85
Question 2
2.
Which of the following are true?
a)
If the probability is too less, it will become negative
b)
The probability of an event that cannot happen is unknown
c)
Probability of getting 105 marks out of 100 is 1.05
d)
The probability of an event that is very likely to happen is 1
e)
If the probability of failing the exam is 0.67, the probability of passing the exam is 0.33
  • {b,e}
  • {c,d,e}
  • {e}
  • {a,e}
Question 3
3.
A carton consist of 98 shirts of which 85 are good, 11 have minor defects and 2 have major defects. Salman, a trader, will only accept the shirts which are good, but Deepti, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Salman?
  • 86
    99
  • 43
    49
  • 85
    98
  • 6
    7
  • 13
    98
Question 4
4.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '6' of clubs?
  • 3
    13
  • 1
    52
  • 1
    4
  • 1
    13
  • 1
    26
Question 5
5.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
  • 50
  • 54
  • 52
  • 51
  • 53
Question 6
6.
In a lottery, there are 28 prizes and 17 blanks. What is the probability of getting a prize?
  • 29
    45
  • 17
    45
  • 29
    46
  • 3
    5
  • 28
    45
Question 7
7.
An unbiased die is thrown once. Find the probability of getting a number greater than 2?
  • 3
    4
  • 1
    3
  • 2
    3
  • 1
Question 8
8.
Two players Santoshi and Priyanka play a tennis match. It is known that the probability of Santoshi winning the match is 0.25. What is the probability of Priyanka winning the match?
  • 1
    2
  • 1
  • 1
    4
  • 4
    5
  • 3
    4
Question 9
9.
A box contains 24 white marbles, 52 gray marbles, 20 blue marbles and 4 red marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is gray or blue.
  • 19
    26
  • 17
    25
  • 7
    25
  • 19
    25
  • 18
    25
Question 10
10.
Which of the following are true?
a)
    • P(E) - P(
    •  

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

      E
       
       
    • )
e)
    • P(E) + P(
    •  

      E
       
       
    • ) = 0
  • {b,d}
  • {c,d}
  • {a,b}
  • {c,d,b}
  • {e,a,b}