SSC Board Practice

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SSC Grade IX - Probability
Question 1
1.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 25
      • 5
      • 17
      • 21
      • 14
      • 18
      • 12
      • 4
      • 9
      • 25
      • 27
    • What is the empirical probability that an engineer lives less than 14 km from her place of work?
  • 7
    11
  • 5
    11
  • 5
    12
  • 3
    11
  • 4
    11
Question 2
2.
A lot of 39 bulbs contain 3 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • 1
    7
  • 12
    13
  • 2
    13
  • 0
  • 1
    13
Question 3
3.
Suppose a die is thrown on a rectangular region as shown below. What is the probability that it will land inside the circle of diameter 8.00 cm?
  • 41
    49
  • 9
    49
  • 8
    49
  • 1
    7
  • 9
    50
Question 4
4.
A die is thrown twice. What is the probability that 2 will not come up either time?
  • 11
    36
  • 13
    18
  • 25
    36
  • 26
    37
  • 2
    3
Question 5
5.
When two dice are thrown simultaneously, how many elementary events are possible?
  • 36
  • 35
  • 37
  • 39
  • 33
Question 6
6.
54 cards are numbered 1,2,3,....54 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?
  • 8
    27
  • 19
    27
  • 1
    3
  • 9
    28
  • 7
    27
Question 7
7.
An unbiased die is thrown once. Find the probability of getting an even number?
  • 4
    5
  • 2
    3
  • 1
    2
  • 3
    4
  • 5
    6
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 of spades?
  • 1
    4
  • 1
    13
  • 3
    13
  • 1
    52
  • 1
    26
Question 9
9.
An unbiased die is thrown once. Find the probability of getting a number between 3 and 4?
  • 1
    2
  • 0
  • 3
    4
  • 1
    4
  • 1
Question 10
10.
In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?
  • 3
    4
  • 1
    4
  • 2
    5
  • 1
    2
  • 0