ICSE Board Practice

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ICSE Grade X - Probability
Question 1
1.
A die is thrown 120 times. Prime numbers appeared on the upper face 45 times. If a die is thrown at random, what is the probability of getting a prime number?
  • 4
    9
  • 3
    8
  • 1
    4
  • 1
    2
  • 5
    8
Question 2
2.
Which of the following are true?
a)
    • P(E) - P(
    •  

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

      E
       
       
    • )
c)
    • P(E) + P(not E) = 1
d)
    • P(E) + P(
    •  

      E
       
       
    • ) = 0
e)
    • P(E) - P(not E) = 0
  • {b,c}
  • {e,a,b}
  • {d,c,b}
  • {d,c}
  • {a,b}
Question 3
3.
A box contains 20 discs which are numbered from 1 to 20. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • 9
    20
  • 4
    7
  • 11
    20
  • 1
    2
  • 3
    5
Question 4
4.
Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
  • 4
    9
  • 5
    8
  • 1
    4
  • 3
    8
  • 1
    2
Question 5
5.
67 cards are numbered 1,2,3,....67 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 an odd number?
  • 35
    68
  • 34
    67
  • 35
    67
  • 33
    67
Question 6
6.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 3
    4
  • 5
    6
  • 4
    5
  • 2
    3
  • 1
    2
Question 7
7.
Two players Aparna and Savitha play a tennis match. It is known that the probability of Aparna winning the match is 0.67. What is the probability of Savitha winning the match?
  • 17
    50
  • 33
    100
  • 67
    100
  • 34
    101
  • 8
    25
Question 8
8.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a king?
  • 3
    13
  • 1
    52
  • 1
    4
  • 1
    13
  • 1
    26
Question 9
9.
77 cards are numbered 1,2,3,....77 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 20?
  • 58
    77
  • 19
    77
  • 10
    39
  • 18
    77
  • 20
    77
Question 10
10.
    • If P(E) =
    • 0.5
    • , find P(
    •  

      E
       
       
    • )
  • 1.5
  • 8.5
  • 0.5
  • 7.5
  • 2.5