ICSE Board Practice

ICSE Grade X - Probability
Question 1
1.
A coin is tossed 50 times and tail appears 40 times. If the coin is tossed again, what is the probability of getting a head?
  • 0
  • 4

    5
  • 1

    5
  • 2

    5
  • 1

    3
Question 2
2.
A carton consist of 83 shirts of which 64 are good, 15 have minor defects and 4 have major defects. Karthik, a trader, will only accept the shirts which are good, but Roja, 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 Roja?
  • 78

    83
  • 80

    83
  • 4

    83
  • 79

    83
  • 20

    21
Question 3
3.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '3' of red suit ?
  • 1

    13
  • 1

    4
  • 3

    13
  • 1

    26
  • 1

    52
Question 4
4.
When two coins are tossed simultaneously, how many elementary events are possible?
  • 4
  • 7
  • 3
  • 1
  • 5
Question 5
5.
A lot of 29 bulbs contain 14 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 ?
  • 3

    4
  • 5

    6
  • 1

    2
  • 4

    5
  • 2

    3
Question 6
6.
An unbiased die is thrown once. Find the probability of getting a 5?
  • 2

    7
  • 5

    6
  • 1

    6
  • 1

    3
  • 0
Question 7
7.
    • On a particular day, at a crossing in a city, the various types of 105 vehicles going past during a time-interval were observed as under:
    • Type of Vehicle
      Three-wheeler
      Four-wheeler
      Two-wheeler
      Frequency
      30
      35
      40
    • Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Four-wheeler' ?
  • 0
  • 1

    3
  • 2

    3
  • 1

    2
Question 8
8.
    • 297 families with 2 children were selected randomly, and the following data were recorded
    • No. of girls in a family
      0
      1
      2
      Number of families
      54
      117
      126
    • Compute the probability of the family, chosen at random, having no girls.
  • 1

    4
  • 1

    11
  • 2

    11
  • 9

    11
  • 3

    11
Question 9
9.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '3' of hearts?
  • 1

    26
  • 1

    4
  • 1

    13
  • 3

    13
  • 1

    52
Question 10
10.
A carton consist of 71 shirts of which 59 are good, 8 have minor defects and 4 have major defects. Salman, a trader, will only accept the shirts which are good, but Akshaya, 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 Salman?
  • 59

    71
  • 12

    71
  • 60

    71
  • 5

    6
  • 58

    71