EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A bag contains 30 orange balls, 27 pink balls, 39 black balls and 18 gray balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is gray.
  • (i)
    4

    19
  • (ii)
    1

    5
  • (iii)
    3

    19
  • (iv)
    16

    19
  • (v)
    2

    19
Question 2
2.
A box contains 14 gray balls, 4 pink balls, 16 white balls and 28 blue balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not blue.
  • (i)
    14

    31
  • (ii)
    18

    31
  • (iii)
    16

    31
  • (iv)
    17

    31
  • (v)
    9

    16
Question 3
3.
A bag contains 9 white marbles, 18 pink marbles, 27 orange marbles and 45 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is pink or white.
  • (i)
    3

    11
  • (ii)
    4

    11
  • (iii)
    2

    11
  • (iv)
    8

    11
  • (v)
    1

    3
Question 4
4.
A bag contains 30 pink balls, 10 yellow balls, 20 blue balls and 26 gray balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is neither blue nor gray.
  • (i)
    20

    43
  • (ii)
    19

    43
  • (iii)
    21

    43
  • (iv)
    21

    44
  • (v)
    23

    43
Question 5
5.
A carton consist of 64 shirts of which 51 are good, 12 have minor defects and 1 have major defects. Abhishek, a trader, will only accept the shirts which are good, but Swetha, 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 Abhishek?
  • (i)
    25

    32
  • (ii)
    13

    64
  • (iii)
    13

    16
  • (iv)
    4

    5
  • (v)
    51

    64
Question 6
6.
A carton consist of 77 shirts of which 66 are good, 6 have minor defects and 5 have major defects. Shyam, a trader, will only accept the shirts which are good, but Soundarya, 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 Soundarya?
  • (i)
    73

    77
  • (ii)
    73

    78
  • (iii)
    5

    77
  • (iv)
    72

    77
  • (v)
    71

    77
Question 7
7.
A lot of 31 bulbs contain 10 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    11

    32
  • (ii)
    9

    31
  • (iii)
    11

    31
  • (iv)
    21

    31
  • (v)
    10

    31
Question 8
8.
A lot of 28 bulbs contain 14 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 ?
  • (i)
    4

    9
  • (ii)
    13

    27
  • (iii)
    14

    27
  • (iv)
    1

    2
Question 9
9.
A box contains 20 discs which are numbered from 1 to 20. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • (i)
    9

    20
  • (ii)
    1

    2
  • (iii)
    11

    20
  • (iv)
    3

    5
  • (v)
    4

    7
Question 10
10.
A box contains 40 discs which are numbered from 1 to 40. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
  • (i)
    17

    20
  • (ii)
    1

    10
  • (iii)
    4

    21
  • (iv)
    3

    20
  • (v)
    1

    5
Question 11
11.
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.
  • (i)
    4

    5
  • (ii)
    1

    3
  • (iii)
    1

    5
  • (iv)
    2

    5
  • (v)
    0
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (i)
  •  4) (i)
  •  5) (v)
  •  6) (iv)
  •  7) (v)
  •  8) (ii)
  •  9) (iii)
  •  10) (iv)
  •  11) (iii)