ICSE Board Practice

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ICSE Grade X - Probability
Question 1
1.
A carton consist of 106 shirts of which 90 are good, 14 have minor defects and 2 have major defects. Rajesh, a trader, will only accept the shirts which are good, but Aishwarya, 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 Rajesh?
  • 46
    53
  • 44
    53
  • 23
    27
  • 8
    53
  • 45
    53
Question 2
2.
A lot of 26 bulbs contain 8 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 ?
  • 16
    25
  • 8
    25
  • 17
    25
  • 18
    25
  • 9
    13
Question 3
3.
Which of the following are true?
a)
The probability of an event that is very likely to happen is 1
b)
If the probability is too less, it will become negative
c)
If the probability of failing the exam is 0.75, the probability of passing the exam is 0.25
d)
The probability of an event that cannot happen is unknown
e)
Probability of getting 102 marks out of 100 is 1.02
  • {d,e,c}
  • {a,c}
  • {c}
  • {b,c}
Question 4
4.
    • On a particular day, at a crossing in a city, the various types of 170 vehicles going past during a time-interval were observed as under:
    • Type of Vehicle
      Two-wheeler
      Three-wheeler
      Four-wheeler
      Frequency
      25
      70
      75
    • Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Four-wheeler' ?
  • 15
    34
  • 7
    17
  • 16
    35
  • 8
    17
  • 19
    34
Question 5
5.
A box contains 30 discs which are numbered from 1 to 30. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • 3
    10
  • 3
    5
  • 7
    10
  • 4
    5
  • 8
    11
Question 6
6.
Suppose a die is thrown on a rectangular region as shown below. What is the probability that it will land inside the circle of diameter 20.00 cm?
  • 275
    588
  • 137
    294
  • 313
    588
  • 276
    589
  • 23
    49
Question 7
7.
A die is thrown twice. What is the probability that 5 will not come up either time?
  • 11
    36
  • 13
    18
  • 26
    37
  • 2
    3
  • 25
    36
Question 8
8.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 16
      • 10
      • 23
      • 3
      • 5
      • 3
      • 1
      • 30
      • 14
      • 24
      • 15
      • 29
      • 18
      • 8
    • What is the empirical probability that an engineer lives greater than 1 km from her place of work?
  • 6
    7
  • 1
  • 13
    14
  • 14
    15
  • 1
    14
Question 9
9.
A game consists of tossing a coin 3 times and noting its outcome each time. Gopal wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Gopal will lose the game.
  • 1
    4
  • 3
    4
  • 1
    2
  • 4
    5
  • 1
Question 10
10.
    • The following table shows the blood-groups of 486 students of a class.
    • Blood group
      A
      B
      O
      AB
      Number of students
      90
      117
      126
      153
    • One student of the class is choosen at random. What is the probability that the choosen student has blood group 'AB' ?
  • 17
    54
  • 1
    3
  • 18
    55
  • 37
    54
  • 8
    27