SSC Board Practice

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SSC Grade X - Probability
Question 1
1.
A die is thrown 590 times. The number 2 appears on the upper face 70 times. Now the die is thrown at random. What is the probability of getting a 2 ?
  • 52
    59
  • 8
    59
  • 6
    59
  • 7
    59
  • 2
    15
Question 2
2.
A box contains 33 gray balls, 27 black balls, 36 blue balls and 15 pink balls. One ball is drawn at random from the box. Find the probability that the ball drawn is blue or pink.
  • 18
    37
  • 9
    19
  • 17
    37
  • 16
    37
  • 20
    37
Question 3
3.
Which of the following are true?
a)
Probability of getting 101 marks out of 100 is 1.01
b)
The probability of an event that cannot happen is unknown
c)
If the probability is too less, it will become negative
d)
If the probability of failing the exam is 0.22, the probability of passing the exam is 0.78
e)
The probability of an event that is very likely to happen is 1
  • {d}
  • {a,d}
  • {b,d}
  • {c,e,d}
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 either a black card or a king?
  • 3
    13
  • 1
    13
  • 1
    52
  • 7
    13
  • 1
    26
Question 5
5.
Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.
  • 1
    6
  • 5
    6
  • 1
    3
  • 0
  • 2
    7
Question 6
6.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 3
    4
  • 1
  • 1
    2
  • 1
    4
  • 4
    5
Question 7
7.
A single unbiased coin is tossed. Find the probability of getting a head.
  • 2
    3
  • 3
    4
  • 5
    6
  • 4
    5
  • 1
    2
Question 8
8.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 22
      • 28
      • 27
      • 26
      • 5
      • 11
      • 24
      • 24
      • 1
      • 27
      • 11
    • What is the empirical probability that an engineer lives greater than 1 km from her place of work?
  • 9
    11
  • 10
    11
  • 1
  • 1
    11
  • 11
    12
Question 9
9.
What is the probability of an impossible event?
  • 1
  • 3
    4
  • 1
    2
  • 1
    4
  • 0
Question 10
10.
Two unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
  • 3
    4
  • 1
    2
  • 4
    5
  • 2
    3
  • 5
    6