SSC Board Practice

SSC Grade X - Probability
Question 1
1.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
  • 1

    2
  • 3

    4
  • 4

    5
  • 5

    6
  • 2

    3
Question 2
2.
Two coins are tossed simultaneously 70 times and it was observed that both heads appeared 60 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
  • 1

    7
  • 5

    7
  • 7

    8
  • 6

    7
  • 1
Question 3
3.
64 cards are numbered 1,2,3,....64 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 an odd number?
  • 5

    6
  • 1

    2
  • 2

    3
  • 4

    5
  • 3

    4
Question 4
4.
    • A die is thrown 280 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
      35
      40
      50
      60
      65
    • If the die is thrown again randomly, find the probability of getting 3 as outcome.
  • 2

    7
  • 0
  • 1

    4
  • 1

    7
  • 6

    7
Question 5
5.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a king of spades?
  • 1

    13
  • 3

    13
  • 1

    26
  • 1

    4
  • 1

    52
Question 6
6.
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 4.00 cm?
  • 271

    315
  • 43

    315
  • 44

    315
  • 45

    316
  • 1

    7
Question 7
7.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '4' of spades?
  • 1

    26
  • 1

    13
  • 1

    4
  • 3

    13
  • 1

    52
Question 8
8.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
  • 52
  • 53
  • 50
  • 51
  • 55
Question 9
9.
Saraswathi and Akshaya are friends. What is the probability that both will have different birthdays? (ignoring a leap year).
  • 1
  • 365

    366
  • 1

    365
  • 363

    365
  • 364

    365
Question 10
10.
An unbiased die is thrown once. Find the probability of getting a number between 1 and 6?
  • 2

    3
  • 1

    3
  • 1
  • 3

    4