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Home ‣ Aptitude ‣ Probability See What Others Are Saying!
  • Question

  • A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is :


  • Options
  • A. 35/96
  • B. 19/90
  • C. 19/96
  • D. None of these

  • Correct Answer
  • 19/90 

    Explanation

    A S S I S T A N T ? A A I N S S S T T

    S T A T I S T I C S ? A C I I S S S T T T

    Here N and C are not common and same letters can be A, I, S, T. Therefore

     Probability of choosing A =   2 C 1 9 C 1 × 1 C 1 10 C 1  = 1/45 

     Probability of choosing I =  1 9 C 1 × 2 C 1 10 C 1  = 1/45

    Probability of choosing S =  3 C 1 9 C 1 × 3 C 1 10 C 1  = 1/10

    Probability of choosing T =  2 C 1 9 C 1 × 3 C 1 10 C 1  = 1/15

    Hence, Required probability =    1 45 + 1 45 + 1 10 + 1 15 =   19 90  

    • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    More questions

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      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
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    • C. 3 days
    • D. 6 days
      • Discuss
    • 2. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
      • Discuss
    • 3. 
      105, 85, 60, 30, 0, - 45, - 90?

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    • 4. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

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    • A. {3, 4} ? A
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    • D. {1, 2, 5} ? A
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    • 5. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

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    • A. 2 : 5
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    • 6. 
      1, 2, 4, 8, 16, 32, 64, (...), 256?

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    • 7. 
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    • A. 150 m
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      • Discuss
    • 8. 
      8% of 96 =? of 1/25

    • Options
    • A. 19.2
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      • Discuss
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    • Options
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      • Discuss
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    • Options
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