SSC Board Practice

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SSC Grade IX - Probability
Question 1
1.
    • A die is thrown 370 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
      30
      40
      55
      70
      80
      95
    • If the die is thrown again randomly, find the probability of getting 1 as outcome.
  • 34
    37
  • 3
    37
  • 2
    19
  • 2
    37
  • 4
    37
Question 2
2.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is either a red card or a jack?
  • 1
    52
  • 7
    13
  • 1
    13
  • 3
    13
  • 1
    26
Question 3
3.
    • The distances (in km) of engineers from their residence to their place of work were found as follows
      • 15
      • 22
      • 13
      • 15
      • 6
      • 23
      • 7
      • 22
      • 25
      • 13
      • 29
    • What is the empirical probability that an engineer lives greater than 22 km from her place of work?
  • 4
    11
  • 2
    11
  • 8
    11
  • 1
    3
  • 3
    11
Question 4
4.
A bag contains 24 red marbles, 45 gray marbles, 12 yellow marbles and 33 pink marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is red or gray.
  • 12
    19
  • 8
    13
  • 15
    38
  • 11
    19
  • 23
    38
Question 5
5.
A die is thrown 350 times. The number 6 appears on the upper face 62 times. Now the die is thrown at random. What is the probability of getting a 6 ?
  • 6
    35
  • 2
    11
  • 31
    175
  • 32
    175
  • 144
    175
Question 6
6.
Which of the following experiments have equally likely outcomes?
a)
A man starts his vehicle. It starts or it does not starts
b)
A man throws a die. The number on the top is either 1 or not 1
c)
A baby is born. It is a boy or girl
d)
A true/false question is attempted. The answer is either right or wrong
e)
A ball is hit. It reaches the boundary or not
  • {c,d}
  • {a,c}
  • {b,d,c}
  • {e,a,c}
  • {b,d}
Question 7
7.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
  • 8
    9
  • 3
    4
  • 7
    8
  • 1
  • 1
    8
Question 8
8.
    • 225 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
      90
    • Compute the probability of the family, chosen at random, having no girls.
  • 18
    25
  • 6
    25
  • 8
    25
  • 4
    13
  • 7
    25
Question 9
9.
A game consists of tossing a coin 3 times and noting its outcome each time. Jimmy wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Jimmy will lose the game.
  • 3
    4
  • 4
    5
  • 1
  • 1
    4
  • 1
    2
Question 10
10.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 4
    5
  • 1
  • 3
    4
  • 1
    2
  • 1
    4