SSC Board Practice

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SSC Grade IX - Probability
Question 1
1.
Which of the following experiments have equally likely outcomes?
a)
A ball is hit. It reaches the boundary or not
b)
A baby is born. It is a boy or girl
c)
A man starts his vehicle. It starts or it does not starts
d)
A true/false question is attempted. The answer is either right or wrong
e)
A man throws a die. The number on the top is either 2 or not 2
  • {e,a,b}
  • {b,d}
  • {c,d,b}
  • {c,d}
  • {a,b}
Question 2
2.
Two unbiased dice are thrown simultaneously. Find the probability of getting 10 as the sum of the two numbers on the dice.
  • 11
    12
  • 1
    12
  • 2
    13
  • 0
  • 1
    6
Question 3
3.
An unbiased die is thrown once. Find the probability of getting a 6?
  • 0
  • 1
    6
  • 5
    6
  • 2
    7
  • 1
    3
Question 4
4.
Which of the following are true?
a)
    • P(E) = 1 - P(
    •  

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

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

      E
       
       
    • ) = 0
e)
    • P(E) + P(not E) = 1
  • {c,e}
  • {b,a}
  • {a,e}
  • {d,b,a}
  • {c,e,a}
Question 5
5.
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)
    • For an event E, we have 0
    • ≤
    • P(E)
    • ≤
    • 1
e)
    • The probability of an impossible event is 1
  • {a,c}
  • {c,d}
  • {e,a,c}
  • {b,d}
  • {b,d,c}
Question 6
6.
A die is thrown twice. What is the probability that 5 will come up atleast once?
  • 1
    3
  • 5
    18
  • 11
    36
  • 25
    36
  • 12
    37
Question 7
7.
A box contains 20 orange balls, 22 blue balls, 6 black balls and 4 red balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not orange.
  • 7
    13
  • 8
    13
  • 5
    13
  • 9
    13
  • 9
    14
Question 8
8.
70 cards are numbered 1,2,3,....70 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 a prime number?
  • 51
    70
  • 20
    71
  • 2
    7
  • 9
    35
  • 19
    70
Question 9
9.
A die is thrown twice. What is the probability that 1 will come atleast once?
  • 11
    36
  • 12
    37
  • 25
    36
  • 5
    18
  • 1
    3
Question 10
10.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a face card ?
  • 1
    52
  • 3
    13
  • 1
    26
  • 1
    13
  • 1
    4