EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A bag contains 12 gray balls, 3 pink balls, 6 red balls and 33 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is red.
  • (i)
    1

    9
  • (ii)
    1

    5
  • (iii)
    8

    9
  • (iv)
    0
  • (v)
    2

    9
Question 2
2.
A bag contains 6 orange balls, 30 blue balls, 27 pink balls and 33 red balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not red.
  • (i)
    11

    32
  • (ii)
    2

    3
  • (iii)
    5

    8
  • (iv)
    11

    16
  • (v)
    21

    32
Question 3
3.
A box contains 45 yellow marbles, 65 red marbles, 75 pink marbles and 5 black marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is pink or black.
  • (i)
    11

    19
  • (ii)
    9

    20
  • (iii)
    9

    19
  • (iv)
    7

    19
  • (v)
    8

    19
Question 4
4.
A box contains 30 white balls, 9 blue balls, 15 orange balls and 33 pink balls. One ball is drawn at random from the box. Find the probability that the ball drawn is neither pink nor white.
  • (i)
    8

    29
  • (ii)
    3

    10
  • (iii)
    9

    29
  • (iv)
    21

    29
  • (v)
    7

    29
Question 5
5.
A carton consist of 96 shirts of which 88 are good, 7 have minor defects and 1 have major defects. Prasad, 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 Prasad?
  • (i)
    5

    6
  • (ii)
    12

    13
  • (iii)
    11

    12
  • (iv)
    1
  • (v)
    1

    12
Question 6
6.
A carton consist of 84 shirts of which 70 are good, 10 have minor defects and 4 have major defects. Karthik, 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)
    20

    21
  • (ii)
    19

    21
  • (iii)
    21

    22
  • (iv)
    1
  • (v)
    1

    21
Question 7
7.
A lot of 28 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    6

    7
  • (ii)
    1

    4
  • (iii)
    2

    7
  • (iv)
    1

    7
  • (v)
    0
Question 8
8.
A lot of 32 bulbs contain 3 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)
    27

    31
  • (ii)
    29

    31
  • (iii)
    29

    32
  • (iv)
    28

    31
  • (v)
    3

    31
Question 9
9.
A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • (i)
    31

    35
  • (ii)
    61

    70
  • (iii)
    6

    7
  • (iv)
    9

    70
  • (v)
    62

    71
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)
    3

    20
  • (ii)
    1

    10
  • (iii)
    4

    21
  • (iv)
    17

    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)
    1

    3
  • (ii)
    0
  • (iii)
    4

    5
  • (iv)
    2

    5
  • (v)
    1

    5
    Assignment Key

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