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  • Question
  • If three marbles are picked at random, what is the probability that at least one is blue?


  • Options
  • A. 7/12
  • B. 37/44
  • C. 5/12
  • D. 7/44

  • Correct Answer
  • 37/44 

    Explanation

    Total number of possible outcomes
    = 12C3 = 220
    Number of events which do not contain blue marbles (3 marbles out of 7 marbles) = 7C3 = 35
    ? Required probability = 1 - 35/220 = 37/44


  • Probability problems


    Search Results


    • 1. 
      If a 4- digit number is formed at random using the digit 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is

    • Options
    • A. 4/5
    • B. 3/5
    • C. 1/5
    • D. 2/3
    • Discuss
    • 2. 
      A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was four is

    • Options
    • A. 2/5
    • B. 1/5
    • C. 1/6
    • D. None of these
    • Discuss
    • 3. 
      The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target atleast three times, is

    • Options
    • A. 291/364
    • B. 371/464
    • C. 471/502
    • D. 459/512
    • Discuss
    • 4. 
      From 4 children, 2 women and 4 men, 4 person are selected. The probability that there are exactly 2 children among the selected persons, is

    • Options
    • A. 11/21
    • B. 9/21
    • C. 10/21
    • D. 5/21
    • Discuss
    • 5. 
      The probability that a leap year selected at random contains 53 Sundays, is

    • Options
    • A. 7/366
    • B. 26/183
    • C. 1/7
    • D. 2/7
    • Discuss
    • 6. 
      If 56P r + 6 : 54P r + 3 = 30800 : 1 then the value of r is?

    • Options
    • A. 40
    • B. 41
    • C. 42
    • D. None of these
    • Discuss
    • 7. 
      How many groups of 6 persons can be formed from 8 men and 7 women?

    • Options
    • A. 5000
    • B. 5005
    • C. 5050
    • D. None of these
    • Discuss
    • 8. 
      There are 10 oranges in a basket. Find the no. of ways in which 3 oranges are chosen from the basket?

    • Options
    • A. 125
    • B. 140
    • C. 110
    • D. 120
    • Discuss
    • 9. 
      There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed.?

    • Options
    • A. 2200
    • B. 2300
    • C. 2400
    • D. 3200
    • Discuss
    • 10. 
      8 men entered a lounge simultaneously. If each person shook hands with the other, then find the total no. of hand shakes?

    • Options
    • A. 16
    • B. 36
    • C. 56
    • D. 28
    • Discuss


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