CBSE Board Practice

CBSE Grade IX - Probability
Question 1
1.
A survey of 110 men showed that only 65 of them know German. Out of these men, if one is selected at random, what is the probability that the selected man knows German?
  • 7

    11
  • 13

    22
  • 6

    11
  • 9

    22
  • 14

    23
Question 2
2.
There are 44 students in a class room of whom 24 are boys and 20 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?
  • 5

    11
  • 7

    11
  • 6

    11
  • 7

    12
Question 3
3.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 10
      • 19
      • 1
      • 23
      • 28
      • 28
      • 13
      • 15
    • What is the empirical probability that an engineer lives greater than 28 km from her place of work?
  • 0
  • 1

    4
  • 1

    2
  • 1
  • 3

    4
Question 4
4.
A coin is tossed 90 times and tail appears 55 times. If the coin is tossed again, what is the probability of getting a head?
  • 7

    18
  • 4

    9
  • 11

    18
  • 1

    3
  • 8

    19
Question 5
5.
In a lottery, there are 19 prizes and 18 blanks. What is the probability of not getting a prize?
  • 19

    37
  • 18

    37
  • 1

    2
  • 17

    37
Question 6
6.
Which of the following are possible values of probability?
a)
-1.3
b)
5
c)
5

3
d)
2

3
e)
0.29
  • {b,e,d}
  • {b,e}
  • {d,e}
  • {a,d}
  • {c,a,d}
Question 7
7.
    • The following table shows the blood-groups of 378 students of a class.
    • Blood group
      AB
      B
      A
      O
      Number of students
      45
      63
      99
      171
    • One student of the class is choosen at random. What is the probability that the choosen student has blood group 'O' ?
  • 19

    42
  • 10

    21
  • 23

    42
  • 20

    43
  • 3

    7
Question 8
8.
A die is thrown 490 times. The number 5 appears on the upper face 80 times. Now the die is thrown at random. What is the probability of getting a 5 ?
  • 8

    49
  • 41

    49
  • 9

    50
  • 9

    49
  • 1

    7
Question 9
9.
    • Three coins are tossed simultaneously 250 times with the following frequencies of different outcomes :
    • Outcome
      3 heads
      2 heads
      1 heads
      No heads
      Frequency
      25
      50
      85
      90
    • If the three coins are simultaneously tossed again, compute the probability of 'No heads' coming up.
  • 9

    25
  • 2

    5
  • 8

    25
  • 5

    13
  • 16

    25
Question 10
10.
A die is thrown 50 times. Prime numbers appeared on the upper face 25 times. If a die is thrown at random, what is the probability of getting a prime number?
  • 5

    6
  • 1

    2
  • 3

    4
  • 4

    5
  • 2

    3