ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Probability
Question 1
1.
    • Three coins are tossed simultaneously 175 times with the following frequencies of different outcomes :
    • Outcome
      3 heads
      2 heads
      1 heads
      No heads
      Frequency
      30
      40
      50
      55
    • If the three coins are simultaneously tossed again, compute the probability of '1 heads' coming up.
  • 5
    7
  • 3
    7
  • 1
    7
  • 2
    7
  • 3
    8
Question 2
2.
Which of the following are true?
a)
If the probability of failing the exam is 0.57, the probability of passing the exam is 0.43
b)
The probability of an event that cannot happen is unknown
c)
If the probability is too less, it will become negative
d)
The probability of an event that is very likely to happen is 1
e)
Probability of getting 106 marks out of 100 is 1.06
  • {b,a}
  • {d,e,a}
  • {a}
  • {c,a}
Question 3
3.
A die is thrown twice. What is the probability that 4 will come atleast once?
  • 1
    3
  • 5
    18
  • 25
    36
  • 12
    37
  • 11
    36
Question 4
4.
    • On a particular day, at a crossing in a city, the various types of 130 vehicles going past during a time-interval were observed as under:
    • Type of Vehicle
      Three-wheeler
      Two-wheeler
      Four-wheeler
      Frequency
      30
      40
      60
    • Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Three-wheeler' ?
  • 10
    13
  • 2
    7
  • 2
    13
  • 4
    13
  • 3
    13
Question 5
5.
Two coins are tossed simultaneously 140 times and it was observed that both heads appeared 125 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
  • 25
    28
  • 26
    29
  • 6
    7
  • 3
    28
  • 13
    14
Question 6
6.
What is the probability of an impossible event?
  • 1
    2
  • 1
  • 3
    4
  • 0
  • 1
    4
Question 7
7.
A die is thrown 530 times. The number 5 appears on the upper face 98 times. Now the die is thrown at random. What is the probability of getting a 5 ?
  • 10
    53
  • 25
    133
  • 216
    265
  • 48
    265
  • 49
    265
Question 8
8.
A bag contains 14 yellow marbles, 6 orange marbles, 14 white marbles and 2 gray marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is neither gray nor white.
  • 2
    3
  • 5
    9
  • 3
    5
  • 4
    9
Question 9
9.
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 10
10.
A carton consist of 67 shirts of which 54 are good, 8 have minor defects and 5 have major defects. Anthony, a trader, will only accept the shirts which are good, but Dolly, 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 Anthony?
  • 13
    67
  • 53
    67
  • 55
    68
  • 54
    67
  • 55
    67