EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A box contains 12 gray marbles, 28 white marbles, 30 yellow marbles and 24 black marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is yellow.
  • (i)
    16

    47
  • (ii)
    14

    47
  • (iii)
    15

    47
  • (iv)
    1

    3
  • (v)
    32

    47
Question 2
2.
A box contains 24 gray balls, 21 red balls, 15 white balls and 30 black balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not black.
  • (i)
    3

    4
  • (ii)
    1

    3
  • (iii)
    1
  • (iv)
    2

    3
Question 3
3.
A bag contains 28 white balls, 20 blue balls, 12 orange balls and 22 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is orange or white.
  • (i)
    20

    41
  • (ii)
    19

    41
  • (iii)
    21

    41
  • (iv)
    1

    2
Question 4
4.
A bag contains 4 orange marbles, 48 gray marbles, 36 white marbles and 52 black marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is neither white nor orange.
  • (i)
    4

    7
  • (ii)
    3

    4
  • (iii)
    2

    7
  • (iv)
    5

    7
  • (v)
    6

    7
Question 5
5.
A carton consist of 62 shirts of which 50 are good, 11 have minor defects and 1 have major defects. Nagarjuna, a trader, will only accept the shirts which are good, but Deepti, 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 Nagarjuna?
  • (i)
    26

    31
  • (ii)
    24

    31
  • (iii)
    13

    16
  • (iv)
    6

    31
  • (v)
    25

    31
Question 6
6.
A carton consist of 84 shirts of which 67 are good, 15 have minor defects and 2 have major defects. Akhil, 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?
  • (i)
    41

    42
  • (ii)
    1
  • (iii)
    42

    43
  • (iv)
    20

    21
  • (v)
    1

    42
Question 7
7.
A lot of 25 bulbs contain 2 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    3

    25
  • (ii)
    1

    25
  • (iii)
    2

    25
  • (iv)
    3

    26
  • (v)
    23

    25
Question 8
8.
A lot of 27 bulbs contain 11 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)
    15

    26
  • (ii)
    7

    13
  • (iii)
    16

    27
  • (iv)
    11

    26
  • (v)
    8

    13
Question 9
9.
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 two-digit number.
  • (i)
    32

    41
  • (ii)
    9

    40
  • (iii)
    3

    4
  • (iv)
    4

    5
  • (v)
    31

    40
Question 10
10.
A box contains 50 discs which are numbered from 1 to 50. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
  • (i)
    8

    51
  • (ii)
    3

    25
  • (iii)
    7

    50
  • (iv)
    4

    25
  • (v)
    43

    50
Question 11
11.
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 number divisible by 5.
  • (i)
    0
  • (ii)
    1

    5
  • (iii)
    2

    5
  • (iv)
    4

    5
  • (v)
    1

    3
    Assignment Key

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