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  • Question
  • In a box carrying one dozen of oranges, one third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one oranges out of the three oranges picked up is good?


  • Options
  • A. 1/55
  • B. 54/55
  • C. 45/55
  • D. 3/55

  • Correct Answer
  • 54/55 

    Explanation

    n(S) = 12C3 = (12 x 11 x 10) / (3 x 2) = 2 x 11 x 10 = 220

    No. of selecting of 3 oranges out of the total 12 orange = 4C3 = 4
    ? n(E) = No. of desired selection of oranges = 220 - 4 = 216

    ? P(E) = n(E) / n(S) = 216 / 220 = 54/55


  • Probability problems


    Search Results


    • 1. 
      Out of 15 students studying in a class, 7 are from Maharastra, 5 are from Karnataka and 3 are from Goa, Four students are to be selected at random. What are the chances that at least one is from Karnataka?

    • Options
    • A. 12/13
    • B. 11/13
    • C. 10/15
    • D. 1/15
    • Discuss
    • 2. 
      A fair coin is tossed 100 times, The probability of getting head an odd number of times is?

    • Options
    • A. 1/4
    • B. 2/3
    • C. 1/2
    • D. 3/4
    • Discuss
    • 3. 
      All the boys are sitting together.

    • Options
    • A. 3/42
    • B. 41/42
    • C. 3/35
    • D. 1/42
    • Discuss
    • 4. 
      All the girls are sitting together.

    • Options
    • A. 1/42
    • B. 41/42
    • C. 3/35
    • D. 1/42
    • Discuss
    • 5. 
      All the boys are not sitting together?

    • Options
    • A. 3/35
    • B. 43/49
    • C. 41/42
    • D. 1/42
    • Discuss
    • 6. 
      What is the probability that a leap year selected randomly will have 53 Mondays?

    • Options
    • A. 2/7
    • B. 5/7
    • C. 1/7
    • D. Data inadequate
    • Discuss
    • 7. 
      What is the probability that a leap year selected randomly will have 53 Mondays?

    • Options
    • A. 2/7
    • B. 5/7
    • C. 1/7
    • D. Data inadequate
    • Discuss
    • 8. 
      If the probability for A fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is?

    • Options
    • A. 0.38
    • B. 0.44
    • C. 0.50
    • D. 0.94
    • Discuss
    • 9. 
      A fair coin is tossed 100 times . The probability of getting tails an odd number of times is?

    • Options
    • A. 1/2
    • B. 1/8
    • C. 3/8
    • D. None of these
    • Discuss
    • 10. 
      A natural number is selected at random from the set x = { x : 1 ? x ? 100 }. The probability that the number satisfies the inequality x 2 - 13x ? 30 is?

    • Options
    • A. 5/9
    • B. 9/50
    • C. 3/20
    • D. 7/9
    • Discuss


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