CBSE Board Practice

CBSE Grade X - Probability
Question 1
1.
In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?
  • 3

    4
  • 2

    5
  • 1

    2
  • 1

    4
  • 0
Question 2
2.
    • 198 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
      45
      63
      90
    • Compute the probability of the family, chosen at random, having no girls.
  • 3

    11
  • 17

    22
  • 2

    11
  • 6

    23
  • 5

    22
Question 3
3.
Which of the following are true?
a)
The probability of an event that cannot happen is unknown
b)
If the probability of failing the exam is 0.11, the probability of passing the exam is 0.89
c)
The probability of an event that is very likely to happen is 1
d)
If the probability is too less, it will become negative
e)
Probability of getting 101 marks out of 100 is 1.01
  • {a,b}
  • {b}
  • {d,e,b}
  • {c,b}
Question 4
4.
Suppose a die is thrown on a rectangular region as shown below. What is the probability that it will land inside the circle of diameter 16.00 cm?
  • 677

    1029
  • 353

    1029
  • 352

    1029
  • 117

    343
  • 353

    1030
Question 5
5.
Hamida and Bharathi are friends. What is the probability that both will have same birthdays? (ignoring a leap year).
  • 0
  • 1

    183
  • 2

    365
  • 364

    365
  • 1

    365
Question 6
6.
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in fig. What is the probability that it crashed inside the shaded region as shown in the figure?
  • 3

    4
  • 1

    2
  • 1

    4
  • 2

    5
  • 0
Question 7
7.
Two unbiased dice are thrown simultaneously. Find the probability of getting at least 10 as the sum of the two numbers on the dice.
  • 5

    6
  • 1

    3
  • 0
  • 2

    7
  • 1

    6
Question 8
8.
A game consists of tossing a coin 3 times and noting its outcome each time. Praveen wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Praveen will lose the game.
  • 1

    2
  • 3

    4
  • 1
  • 1

    4
  • 4

    5
Question 9
9.
Two players Deeksha and Rita play a tennis match. It is known that the probability of Deeksha winning the match is 0.50. What is the probability of Rita winning the match?
  • 2

    3
  • 1

    2
  • 5

    6
  • 3

    4
  • 4

    5
Question 10
10.
A bag contains 27 black marbles, 3 red marbles, 36 orange marbles and 42 gray marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is not gray.
  • 12

    19
  • 5

    9
  • 2

    3
  • 11

    18
  • 7

    18