SSC Board Practice

SSC Grade IX - Probability
Question 1
1.
In a lottery, there are 27 prizes and 10 blanks. What is the probability of getting a prize?
  • 14

    19
  • 27

    37
  • 26

    37
  • 10

    37
  • 28

    37
Question 2
2.
Which of the following are true?
a)
    • The probability of a sure event is 1
b)
    • For an event E, we have 0
    • P(E)
    • 1
c)
    • The probability of an unsure event is 0
d)
    • The probability of an impossible event is 1
e)
    • The probability of an imposible event can be > 1
  • {d,b,a}
  • {a,b}
  • {c,a}
  • {e,c,a}
  • {d,b}
Question 3
3.
There are 56 students in a class room of whom 30 are boys and 26 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?
  • 15

    28
  • 16

    29
  • 4

    7
  • 1

    2
  • 13

    28
Question 4
4.
    • The following table shows the blood-groups of 279 students of a class.
    • Blood group
      O
      B
      AB
      A
      Number of students
      45
      54
      63
      117
    • One student of the class is choosen at random. What is the probability that the choosen student has blood group 'A' ?
  • 13

    31
  • 7

    16
  • 14

    31
  • 12

    31
  • 18

    31
Question 5
5.
A carton consist of 68 shirts of which 60 are good, 6 have minor defects and 2 have major defects. Martin, a trader, will only accept the shirts which are good, but Reshma, 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 Martin?
  • 8

    9
  • 16

    17
  • 2

    17
  • 15

    17
  • 14

    17
Question 6
6.
Deeksha and Bharathi are friends. What is the probability that both will have different birthdays? (ignoring a leap year).
  • 1

    365
  • 1
  • 364

    365
  • 365

    366
  • 363

    365
Question 7
7.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
  • 54
  • 51
  • 50
  • 52
  • 53
Question 8
8.
An unbiased die is thrown once. Find the probability of getting a 4?
  • 1

    3
  • 5

    6
  • 2

    7
  • 0
  • 1

    6
Question 9
9.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 1

    4
  • 1
  • 1

    2
  • 4

    5
  • 3

    4
Question 10
10.
Two unbiased dice are thrown simultaneously. Find the probability of getting 9 as the sum of the two numbers on the dice.
  • 8

    9
  • 1

    9
  • 2

    9
  • 1

    5
  • 0