EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A bag contains 6 orange marbles, 21 gray marbles, 39 white marbles and 6 black marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is gray.
  • (i)
    17

    24
  • (ii)
    1

    4
  • (iii)
    8

    25
  • (iv)
    7

    24
  • (v)
    1

    3
Question 2
2.
A box contains 39 red marbles, 42 black marbles, 6 pink marbles and 24 orange marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is not black.
  • (i)
    12

    19
  • (ii)
    22

    37
  • (iii)
    14

    37
  • (iv)
    23

    37
  • (v)
    24

    37
Question 3
3.
A box contains 24 pink marbles, 21 black marbles, 39 yellow marbles and 15 gray marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is black or gray.
  • (i)
    4

    11
  • (ii)
    5

    11
  • (iii)
    5

    12
  • (iv)
    7

    11
  • (v)
    3

    11
Question 4
4.
A bag contains 36 gray balls, 15 orange balls, 27 white balls and 39 yellow balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is neither orange nor gray.
  • (i)
    17

    39
  • (ii)
    7

    13
  • (iii)
    23

    39
  • (iv)
    23

    40
  • (v)
    22

    39
Question 5
5.
A carton consist of 95 shirts of which 80 are good, 14 have minor defects and 1 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Aparna, 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 Jimmy?
  • (i)
    17

    19
  • (ii)
    15

    19
  • (iii)
    3

    19
  • (iv)
    16

    19
  • (v)
    17

    20
Question 6
6.
A carton consist of 70 shirts of which 54 are good, 13 have minor defects and 3 have major defects. Charan, a trader, will only accept the shirts which are good, but Priyanka, 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 Priyanka?
  • (i)
    67

    70
  • (ii)
    3

    70
  • (iii)
    33

    35
  • (iv)
    34

    35
  • (v)
    68

    71
Question 7
7.
A lot of 24 bulbs contain 9 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    1

    2
  • (ii)
    5

    8
  • (iii)
    3

    8
  • (iv)
    4

    9
  • (v)
    1

    4
Question 8
8.
A lot of 40 bulbs contain 7 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)
    7

    39
  • (ii)
    32

    39
  • (iii)
    31

    39
  • (iv)
    33

    40
  • (v)
    11

    13
Question 9
9.
A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • (i)
    7

    8
  • (ii)
    8

    9
  • (iii)
    9

    80
  • (iv)
    9

    10
  • (v)
    71

    80
Question 10
10.
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
  • (i)
    1

    10
  • (ii)
    1

    5
  • (iii)
    2

    11
  • (iv)
    0
  • (v)
    9

    10
Question 11
11.
A box contains 30 discs which are numbered from 1 to 30. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
  • (i)
    1

    5
  • (ii)
    0
  • (iii)
    2

    5
  • (iv)
    1

    3
  • (v)
    4

    5
    Assignment Key

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