EduSahara™ Assignment
Name : Box problems
Chapter : Probability
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
A bag contains 18 orange marbles, 6 red marbles, 21 gray marbles and 3 yellow marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is gray.
  • (i)
    9

    16
  • (ii)
    8

    17
  • (iii)
    3

    8
  • (iv)
    1

    2
  • (v)
    7

    16
Question 2
2.
A box contains 25 white balls, 40 yellow balls, 60 blue balls and 45 gray balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not yellow.
  • (i)
    7

    9
  • (ii)
    12

    17
  • (iii)
    4

    17
  • (iv)
    13

    17
  • (v)
    14

    17
Question 3
3.
A box contains 50 red balls, 10 black balls, 55 orange balls and 35 gray balls. One ball is drawn at random from the box. Find the probability that the ball drawn is black or orange.
  • (i)
    7

    15
  • (ii)
    17

    30
  • (iii)
    13

    30
  • (iv)
    14

    31
  • (v)
    2

    5
Question 4
4.
A box contains 16 orange marbles, 14 gray marbles, 26 pink marbles and 10 white marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is neither gray nor white.
  • (i)
    7

    11
  • (ii)
    4

    11
  • (iii)
    2

    3
  • (iv)
    6

    11
  • (v)
    8

    11
Question 5
5.
A carton consist of 95 shirts of which 80 are good, 11 have minor defects and 4 have major defects. Santosh, a trader, will only accept the shirts which are good, but Parvathi, 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 Santosh?
  • (i)
    17

    19
  • (ii)
    15

    19
  • (iii)
    17

    20
  • (iv)
    3

    19
  • (v)
    16

    19
Question 6
6.
A carton consist of 92 shirts of which 83 are good, 8 have minor defects and 1 have major defects. Ajay, a trader, will only accept the shirts which are good, but Karishma, 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 Karishma?
  • (i)
    1
  • (ii)
    92

    93
  • (iii)
    91

    92
  • (iv)
    45

    46
  • (v)
    1

    92
Question 7
7.
A lot of 30 bulbs contain 6 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
  • (i)
    4

    5
  • (ii)
    2

    5
  • (iii)
    1

    3
  • (iv)
    0
  • (v)
    1

    5
Question 8
8.
A lot of 29 bulbs contain 16 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)
    2

    7
  • (ii)
    4

    7
  • (iii)
    1

    2
  • (iv)
    3

    7
Question 9
9.
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 two-digit number.
  • (i)
    14

    17
  • (ii)
    41

    50
  • (iii)
    4

    5
  • (iv)
    21

    25
  • (v)
    9

    50
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)
    4

    5
  • (ii)
    1

    3
  • (iii)
    0
  • (iv)
    2

    5
  • (v)
    1

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

    5
  • (ii)
    2

    5
  • (iii)
    1

    3
  • (iv)
    4

    5
  • (v)
    0
    Assignment Key

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