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  • Question
  • From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?


  • Options
  • A. 1/15
  • B. 1/221
  • C. 25/57
  • D. 35/256

  • Correct Answer
  • 1/221 

    Explanation

     Let S be the sample space

     

    Then, n(S) =  52 C 2 = 1326.

     

    Let E = event of getting 2 kings out of 4.

     

    n(E)  =  52 * 51 2 * 1 = 6.

      4 C 2

    => 4 * 3 2 * 1

    P ( E ) = n ( E ) n ( S ) = 6 1326 = 1 221


  • Probability problems


    Search Results


    • 1. The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.

    • Options
    • A. 25/99
    • B. 39/100
    • C. 61/100
    • D. 17/100
    • Discuss
    • 2. One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.

    • Options
    • A. 0
    • B. 9/13
    • C. 1/2
    • D. 4/13
    • Discuss
    • 3. A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?

    • Options
    • A. (1/2)^11
    • B. (9)(1/2)
    • C. (11C2)(1/2)^9
    • D. (1/2)
    • Discuss
    • 4. A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?

    • Options
    • A. 1/30
    • B. 2/30
    • C. 1/25
    • D. 1/2
    • Discuss
    • 5. A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?

    • Options
    • A. 1/6
    • B. 1/3
    • C. 1/2
    • D. 1/4
    • Discuss
    • 6. A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

    • Options
    • A. 9/13
    • B. 4/13
    • C. 10/13
    • D. 8/13
    • Discuss
    • 7. Three unbiased coins are tossed. What is the probability of getting at most two heads ?

    • Options
    • A. 4/3
    • B. 2/3
    • C. 3/2
    • D. 3/4
    • Discuss
    • 8. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?

    • Options
    • A. 6/19
    • B. 3/10
    • C. 7/10
    • D. 6/17
    • Discuss
    • 9. The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya?s leave request will be approved ?

    • Options
    • A. 1
    • B. 1/5
    • C. 5
    • D. 4/5
    • Discuss
    • 10. Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.

    • Options
    • A. 1/3
    • B. 3/5
    • C. 2/3
    • D. 5/6
    • Discuss


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