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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. 1/5
  • C. 3/25
  • D. 1/50

  • 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

     

                    =  25 C 3   = 2300.

     

             n(E)= 10 C 1 * 15 C 2  = 1050. 

     

    P(E) = n(E)/n(s) = 1050/2300 = 21/46


  • More questions

    • 1. 
      The smallest positive prime (say p) such that 2 p - 1is not a prime is

    • Options
    • A. 5
    • B. 11
    • C. 17
    • D. 29
    • Discuss
    • 2. 16, 25, 36, 72, 144, 196, 225

    • Options
    • A. 36
    • B. 72
    • C. 196
    • D. 225
    • Discuss
    • 3. 8, 13, 21, 32, 47, 63, 83

    • Options
    • A. 47
    • B. 63
    • C. 32
    • D. 83
    • Discuss
    • 4. 
      [( 3.242 x 14 ) / 100] =?

    • Options
    • A. 0.045388
    • B. 4.5388
    • C. 453.88
    • D. None of these
    • Discuss
    • 5. From a point P on a level ground, the angle of elevation of the top of a tower is 30°, if the tower is 100 m high, find the distance of point P from the foot of the tower.

    • Options
    • A. 100 m
    • B. 173 m
    • C. 200 m
    • D. 273 m
    • Discuss
    • 6. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

    • Options
    • A. 2 years
    • B. 4 years
    • C. 6 years
    • D. 8 years
    • Discuss
    • 7. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

    • Options
    • A. 4%
    • B. 6¼%
    • C. 20%
    • D. 25%
    • Discuss
    • 8. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

    • Options
    • A. 14 km
    • B. 15 km
    • C. 16 km
    • D. 17 km
    • Discuss
    • 9. 
      3.2 x 8.1 + 3185 ÷ 4.95 =?

    • Options
    • A. 670
    • B. 660
    • C. 645
    • D. 690
    • Discuss
    • 10. 
      Exp. = (.35 x .0015) / (.25 x .07) written as a percentage is?

    • Options
    • A. 0.3 %
    • B. 3 %
    • C. 30 %
    • D. None of these
    • Discuss


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