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  • Question
  • If three caps are picked at random, what is the probability that two are red and one is green?


  • Options
  • A. 9/22
  • B. 6/19
  • C. 1/6
  • D. 3/22

  • Correct Answer
  • 3/22 

    Explanation

    Total number of caps = 12
    ? n(S) = 12C3 = 220
    n(E1) = Out of 4 red caps, number of ways to pick 2 caps = 4C2 = 6
    n(E2) = Out of 5 green caps
    Number of ways to pick one cap = 5C1 = 5
    P(E) = n(E1) x n(E2)/n(S) = (6 x 5)/220 = 3/22


  • More questions

    • 1. In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly. 5 6 7 3 4 5 9 10 11 345 460 ?

    • Options
    • A. 535
    • B. 577
    • C. 755
    • D. 775
    • Discuss
    • 2. A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:

    • Options
    • A. 1.25 kg
    • B. 1 kg
    • C. 1.5 kg
    • D. None of these
    • Discuss
    • 3. The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?

    • Options
    • A. 15 mts
    • B. 30 mts
    • C. 24 mts
    • D. 36 mts
    • Discuss
    • 4. The mean temperature of Monday to Wednesday was 37 degree celsius and of Tuesday to Thursday was 34 degree celsius . If the temperature on Thursday was (4/5) th that of Monday, the temperature on Thursday was?

    • Options
    • A. 38 degree celsius
    • B. 36 degree celsius
    • C. 40 degree celsius
    • D. 39 degree celsius
    • Discuss
    • 5. How many liters of oil at Rs. 40 per liter should be mixed with 240 liters of the second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter?

    • Options
    • A. 170 liters
    • B. 160 liters
    • C. 150 liters
    • D. 140 liters
    • Discuss
    • 6. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

    • Options
    • A. Rs. 4082.40
    • B. Rs. 1024.21
    • C. Rs. 2810.6
    • D. Rs. 3214
    • Discuss
    • 7. If the ratio of two squares is 225:256,then the ratio of the perimeters is

    • Options
    • A. 25:16
    • B. 15:16
    • C. 16:15
    • D. 17:16
    • Discuss
    • 8. In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

    • Options
    • A. 1:1
    • B. 2:1
    • C. 3:1
    • D. 1:2
    • Discuss
    • 9. In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

    • Options
    • A. 40/3%
    • B. 20%
    • C. 25%
    • D. 27%
    • Discuss
    • 10. The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

    • Options
    • A. 14:9
    • B. 13:12
    • C. 16:5
    • D. 17:13
    • Discuss


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