SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Probability
Question 1
1.
    • Three coins are tossed simultaneously 250 times with the following frequencies of different outcomes :
    • Outcome
      3 heads
      2 heads
      1 heads
      No heads
      Frequency
      30
      65
      70
      85
    • If the three coins are simultaneously tossed again, compute the probability of 'No heads' coming up.
  • 17
    50
  • 8
    25
  • 9
    25
  • 6
    17
  • 33
    50
Question 2
2.
A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
  • 9
    70
  • 61
    70
  • 31
    35
  • 62
    71
  • 6
    7
Question 3
3.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 3
    4
  • 1
    2
  • 5
    6
  • 4
    5
  • 2
    3
Question 4
4.
    • 234 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
      63
      72
      99
    • Compute the probability of the family, chosen at random, having no girls.
  • 4
    13
  • 7
    26
  • 19
    26
  • 8
    27
  • 3
    13
Question 5
5.
A box contains 56 red balls, 8 blue balls, 44 black balls and 20 yellow balls. One ball is drawn at random from the box. Find the probability that the ball drawn is yellow or red.
  • 13
    32
  • 20
    33
  • 5
    8
  • 19
    32
  • 9
    16
Question 6
6.
74 cards are numbered 1,2,3,....74 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is less then 25?
  • 11
    37
  • 13
    37
  • 12
    37
  • 25
    37
  • 13
    38
Question 7
7.
Two unbiased dice are thrown simultaneously. Find the probability of getting at least 4 as the sum of the two numbers on the dice.
  • 5
    6
  • 11
    12
  • 12
    13
  • 1
    12
  • 1
Question 8
8.
A bag contains 65 white balls, 25 pink balls, 40 red balls and 60 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not white.
  • 13
    38
  • 12
    19
  • 13
    19
  • 25
    38
  • 2
    3
Question 9
9.
A die is thrown twice. What is the probability that 3 will not come up either time?
  • 25
    36
  • 2
    3
  • 26
    37
  • 13
    18
  • 11
    36
Question 10
10.
Two unbiased coins are tossed simultaneously. Find the probability of getting no head.
  • 3
    4
  • 2
    5
  • 0
  • 1
    2
  • 1
    4