SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Probability
Question 1
1.
Which of the following are true?
a)
    • The probability of a sure event is 1
b)
    • The probability of an imposible event can be > 1
c)
    • For an event E, we have 0
    • ≤
    • P(E)
    • ≤
    • 1
d)
    • The probability of an unsure event is 0
e)
    • The probability of an impossible event is 1
  • {e,b,a}
  • {d,c}
  • {b,a}
  • {a,c}
  • {d,c,a}
Question 2
2.
In a lottery, there are 30 prizes and 12 blanks. What is the probability of getting a prize?
  • 5
    7
  • 2
    7
  • 3
    4
  • 4
    7
  • 6
    7
Question 3
3.
A die is thrown twice. What is the probability that 5 will come up atleast once?
  • 11
    36
  • 5
    18
  • 1
    3
  • 12
    37
  • 25
    36
Question 4
4.
64 cards are numbered 1,2,3,....64 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?
  • 10
    33
  • 1
    4
  • 9
    32
  • 23
    32
  • 5
    16
Question 5
5.
A die is thrown 150 times. Prime numbers appeared on the upper face 140 times. If a die is thrown at random, what is the probability of getting a prime number?
  • 15
    16
  • 14
    15
  • 1
  • 13
    15
  • 1
    15
Question 6
6.
A die is thrown 460 times. The number 2 appears on the upper face 66 times. Now the die is thrown at random. What is the probability of getting a 2 ?
  • 197
    230
  • 33
    230
  • 34
    231
  • 17
    115
  • 16
    115
Question 7
7.
A survey of 100 men showed that only 75 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English?
  • 1
  • 1
    2
  • 3
    4
  • 1
    4
  • 4
    5
Question 8
8.
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 baby is born. It is a boy or girl
c)
A ball is hit. It reaches the boundary or not
d)
A man throws a die. The number on the top is either 6 or not 6
e)
A man starts his vehicle. It starts or it does not starts
  • {a,b}
  • {d,b,a}
  • {d,b}
  • {c,a}
  • {e,c,a}
Question 9
9.
Two coins are tossed simultaneously 70 times and it was observed that both heads appeared 35 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
  • 1
    2
  • 5
    6
  • 2
    3
  • 4
    5
  • 3
    4
Question 10
10.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 2
    3
  • 3
    4
  • 1
    2
  • 5
    6
  • 4
    5