CBSE Board Practice

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CBSE Grade IX - Probability
Question 1
1.
A coin is tossed 40 times and tail appears 20 times. If the coin is tossed again, what is the probability of getting a head?
  • 2
    3
  • 3
    4
  • 5
    6
  • 1
    2
  • 4
    5
Question 2
2.
There are 56 students in a class room of whom 28 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 ?
  • 5
    6
  • 2
    3
  • 1
    2
  • 4
    5
  • 3
    4
Question 3
3.
A survey of 140 men showed that only 30 of them know Spanish. Out of these men, if one is selected at random, what is the probability that the selected man knows Spanish?
  • 4
    15
  • 3
    14
  • 11
    14
  • 2
    7
  • 1
    7
Question 4
4.
Two coins are tossed simultaneously 60 times and it was observed that both heads appeared 40 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
  • 1
    3
  • 3
    4
  • 1
  • 2
    3
Question 5
5.
Two players Aishwarya and Dolly play a tennis match. It is known that the probability of Aishwarya winning the match is 0.25. What is the probability of Dolly winning the match?
  • 4
    5
  • 1
  • 1
    2
  • 3
    4
  • 1
    4
Question 6
6.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 13
      • 11
      • 26
      • 8
      • 21
      • 22
      • 1
      • 2
      • 4
      • 22
    • What is the empirical probability that an engineer lives less than 8 km from her place of work?
  • 2
    5
  • 7
    10
  • 4
    11
  • 3
    10
  • 1
    5
Question 7
7.
Two coins are tossed simultaneously 70 times and it was observed that both tails appeared 50 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?
  • 4
    7
  • 6
    7
  • 5
    7
  • 2
    7
  • 3
    4
Question 8
8.
    • If P(E) =
    • 0.75
    • , find P(
    •  

      E
       
       
    • )
  • 1.25
  • 8.25
  • 2.25
  • 0.25
  • 7.25
Question 9
9.
    • 288 families with 2 children were selected randomly, and the following data were recorded
    • No. of girls in a family
      0
      1
      2
      Number of families
      81
      99
      108
    • Compute the probability of the family, chosen at random, having 2 girls.
  • 5
    8
  • 4
    9
  • 3
    8
  • 1
    2
  • 1
    4
Question 10
10.
    • A die is thrown 320 times with the frequencies for outcomes 1, 2, 3, 4, 5 and 6 as given in the following table
    • Outcome
      1
      2
      3
      4
      5
      6
      Frequency
      35
      40
      50
      60
      65
      70
    • If the die is thrown again randomly, find the probability of getting 5 as outcome.
  • 7
    32
  • 13
    64
  • 51
    64
  • 14
    65
  • 3
    16