SSC Board Practice

SSC Grade X - Probability
Question 1
1.
What is the probability of a sure event?
  • 1

    4
  • 0
  • 3

    4
  • 1

    2
  • 1
Question 2
2.
An unbiased die is thrown once. Find the probability of getting a 2?
  • 0
  • 1

    6
  • 2

    7
  • 5

    6
  • 1

    3
Question 3
3.
A bag contains 3 white balls, 12 pink balls, 30 gray balls and 18 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is neither gray nor white.
  • 1

    2
  • 3

    7
  • 10

    21
  • 11

    21
Question 4
4.
A lot of 39 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. Suppose the bulb drawn is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?
  • 17

    19
  • 5

    38
  • 34

    39
  • 33

    38
  • 16

    19
Question 5
5.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 6
      • 25
      • 15
      • 14
      • 30
      • 17
      • 18
      • 12
      • 13
      • 13
      • 25
      • 1
    • What is the empirical probability that an engineer lives less than 6 km from her place of work?
  • 0
  • 2

    13
  • 1

    6
  • 1

    12
  • 11

    12
Question 6
6.
In a lottery, there are 25 prizes and 14 blanks. What is the probability of getting a prize?
  • 13

    20
  • 14

    39
  • 25

    39
  • 8

    13
  • 2

    3
Question 7
7.
Two unbiased dice are thrown simultaneously. Find the probability of getting 5 as the sum of the two numbers on the dice.
  • 1

    9
  • 1

    5
  • 2

    9
  • 8

    9
  • 0
Question 8
8.
A box contains 60 discs which are numbered from 1 to 60. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
  • 1

    3
  • 1

    5
  • 0
  • 2

    5
  • 4

    5
Question 9
9.
A carton consist of 106 shirts of which 87 are good, 14 have minor defects and 5 have major defects. Naveen, a trader, will only accept the shirts which are good, but Rita, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rita?
  • 102

    107
  • 50

    53
  • 51

    53
  • 5

    106
  • 101

    106
Question 10
10.
Which of the following are true?
a)
If the probability of failing the exam is 0.5, the probability of passing the exam is 0.5
b)
The probability of an event that cannot happen is unknown
c)
The probability of an event that is very likely to happen is 1
d)
Probability of getting 108 marks out of 100 is 1.08
e)
If the probability is too less, it will become negative
  • {a}
  • {b,a}
  • {d,e,a}
  • {c,a}