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  • Question
  • From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king?


  • Options
  • A. 1/15
  • B. 25/57
  • C. 35/256
  • D. None of these

  • Correct Answer
  • None of these 

    Explanation

    Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
    ? The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221


  • Probability problems


    Search Results


    • 1. 
      What is the probability that a non-leap year contains 52 Tuesday only?

    • Options
    • A. 1/7
    • B. 2/7
    • C. 3/7
    • D. 6/7
    • Discuss
    • 2. 
      I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

    • Options
    • A. 1/1001
    • B. 1/990
    • C. 1/999
    • D. 1/1000
    • Discuss
    • 3. 
      Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is?

    • Options
    • A. 3/1000
    • B. 3/365
    • C. 1/(365)2
    • D. None of these
    • Discuss
    • 4. 
      If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is?

    • Options
    • A. 5/49
    • B. 4/49
    • C. 3/49
    • D. 2/49
    • Discuss
    • 5. 
      There are four machine and it is know that exactly two of them are faulty, They are tested. One by one in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is?

    • Options
    • A. 1/3
    • B. 1/6
    • C. 1/2
    • D. 1/4
    • Discuss
    • 6. 
      In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the colour of the balls that initially in the bag were equally possible?

    • Options
    • A. 5/8
    • B. 3/4
    • C. 1/2
    • D. 3/8
    • Discuss
    • 7.  Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target?

    • Options
    • A. 1/2
    • B. 2/3
    • C. 1/3
    • D. 5/6
    • Discuss
    • 8. 
      In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his wardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?

    • Options
    • A. 1/12
    • B. 1/6
    • C. 1/4
    • D. 1/2
    • Discuss
    • 9. 
      A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probability that one of them is selected?

    • Options
    • A. 1/5
    • B. 2/5
    • C. 1/3
    • D. 2/3
    • Discuss
    • 10. 
      Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack?

    • Options
    • A. 1/13
    • B. 2/13
    • C. 7/1339
    • D. 1/169
    • Discuss


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