ICSE Board Practice

ICSE Grade X - Probability
Question 1
1.
A coin is tossed 50 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?
  • 4

    5
  • 5

    6
  • 2

    3
  • 3

    4
  • 1

    2
Question 2
2.
A die is thrown twice. What is the probability that 2 will not come up either time?
  • 26

    37
  • 13

    18
  • 2

    3
  • 25

    36
  • 11

    36
Question 3
3.
What is the probability of an impossible event?
  • 0
  • 3

    4
  • 1

    4
  • 1

    2
  • 1
Question 4
4.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
  • 7

    8
  • 1

    8
  • 3

    4
  • 1
  • 8

    9
Question 5
5.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 26
      • 22
      • 30
      • 2
      • 3
      • 15
      • 15
      • 1
      • 8
      • 20
      • 23
      • 20
      • 10
      • 1
    • What is the empirical probability that an engineer lives less than 22 km from her place of work?
  • 6

    7
  • 5

    7
  • 3

    4
  • 2

    7
  • 4

    7
Question 6
6.
A die is thrown 550 times. The number 3 appears on the upper face 70 times. Now the die is thrown at random. What is the probability of getting a 3 ?
  • 48

    55
  • 1

    7
  • 7

    55
  • 8

    55
  • 6

    55
Question 7
7.
Bharathi and Renuka are friends. What is the probability that both will have different birthdays? (ignoring a leap year).
  • 365

    366
  • 1
  • 364

    365
  • 363

    365
  • 1

    365
Question 8
8.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
  • 52
  • 51
  • 53
  • 55
  • 50
Question 9
9.
There are 64 students in a class room of whom 36 are boys and 28 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?
  • 10

    17
  • 9

    16
  • 1

    2
  • 5

    8
  • 7

    16
Question 10
10.
Two unbiased dice are thrown simultaneously. Find the probability of getting 10 as the sum of the two numbers on the dice.
  • 1

    6
  • 0
  • 11

    12
  • 1

    12
  • 2

    13