EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A bag contains 25 blue marbles, 10 black marbles, 40 gray marbles and 50 orange marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is gray.
  • (i)
    8

    25
  • (ii)
    7

    25
  • (iii)
    9

    26
  • (iv)
    17

    25
  • (v)
    9

    25
Question 2
2.
A box contains 56 orange balls, 36 yellow balls, 52 blue balls and 8 black balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not yellow.
  • (i)
    29

    38
  • (ii)
    15

    19
  • (iii)
    9

    38
  • (iv)
    14

    19
  • (v)
    10

    13
Question 3
3.
A box contains 2 pink marbles, 30 white marbles, 14 black marbles and 18 blue marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is pink or blue.
  • (i)
    3

    8
  • (ii)
    6

    17
  • (iii)
    5

    16
  • (iv)
    11

    16
  • (v)
    1

    4
Question 4
4.
A box contains 42 yellow balls, 33 orange balls, 30 gray balls and 39 red balls. One ball is drawn at random from the box. Find the probability that the ball drawn is neither gray nor orange.
  • (i)
    10

    17
  • (ii)
    1

    2
  • (iii)
    9

    16
  • (iv)
    5

    8
  • (v)
    7

    16
Question 5
5.
A carton consist of 72 shirts of which 58 are good, 10 have minor defects and 4 have major defects. Gowtham, a trader, will only accept the shirts which are good, but Anu, 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 Gowtham?
  • (i)
    7

    9
  • (ii)
    5

    6
  • (iii)
    29

    36
  • (iv)
    30

    37
  • (v)
    7

    36
Question 6
6.
A carton consist of 99 shirts of which 88 are good, 6 have minor defects and 5 have major defects. Srikanth, a trader, will only accept the shirts which are good, but Hamida, 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 Hamida?
  • (i)
    95

    99
  • (ii)
    31

    33
  • (iii)
    94

    99
  • (iv)
    19

    20
  • (v)
    5

    99
Question 7
7.
A lot of 27 bulbs contain 10 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    10

    27
  • (ii)
    11

    27
  • (iii)
    11

    28
  • (iv)
    1

    3
  • (v)
    17

    27
Question 8
8.
A lot of 25 bulbs contain 13 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)
    13

    24
  • (ii)
    11

    24
  • (iii)
    12

    25
  • (iv)
    5

    12
  • (v)
    1

    2
Question 9
9.
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 two-digit number.
  • (i)
    1

    10
  • (ii)
    4

    5
  • (iii)
    1
  • (iv)
    10

    11
  • (v)
    9

    10
Question 10
10.
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 perfect square number.
  • (i)
    1

    3
  • (ii)
    2

    5
  • (iii)
    1

    5
  • (iv)
    4

    5
  • (v)
    0
Question 11
11.
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 number divisible by 5.
  • (i)
    2

    5
  • (ii)
    4

    5
  • (iii)
    0
  • (iv)
    1

    3
  • (v)
    1

    5
    Assignment Key

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