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  • Question
  • In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:


  • Options
  • A.
    21
    46
  • B.
    25
    117
  • C.
    1
    50
  • D.
    3
    25

  • Correct Answer
  • 21
    46
     

    Explanation
    Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

    Then, n(S) = Number ways of selecting 3 students out of 25
    = 25C3 `
    = (25 x 24 x 23)
    (3 x 2 x 1)
    = 2300.

    n(E) = (10C1 x 15C2)
    = [ 10 x (15 x 14) ]
    (2 x 1)
    = 1050.

    ∴ P(E) = n(E) = 1050 = 21 .
    n(S) 2300 46


    More questions

    • 1. 
      A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 10
    • Discuss
    • 2. 
      A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

    • Options
    • A. 24 meters
    • B. 40 meters
    • C. 28 meters
    • D. 14 meters
    • Discuss
    • 3. 25, 36, 49, 81, 121, 169, 225

    • Options
    • A. 36
    • B. 49
    • C. 121
    • D. 169
    • Discuss
    • 4. 
      (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?

    • Options
    • A. 1.28
    • B. 0.976
    • C. 12.8
    • D. 9.76
    • Discuss
    • 5. 
      Einstein goes from Ahmedabad To Lucknow at the speed of 40 km/hr and returned at the speed of 60 km/hr .the average speed of Einstein during the whole journey is

    • Options
    • A. 48 km/hr
    • B. 24 km/hr
    • C. 50 km/hr
    • D. none of these
    • Discuss
    • 6. 
      Today is Monday. After 61 days, it will be

    • Options
    • A. Wednesday
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    • 7. 9548 + 7314 = 8362 + (?)

    • Options
    • A. 8230
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    • Discuss
    • 8. 
      The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?

    • Options
    • A. ? 400
    • B. ? 212
    • C. ? 312
    • D. ? 445
    • Discuss
    • 9. 
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    • Options
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    • Discuss
    • 10. 
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    • Options
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    • D. 1/2, 2/3
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