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  • Question
  • 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

  • Correct Answer
  • 3/20 

    Explanation

    x2 - 13 x - 30 ? 0
    ? (x + 2) (x - 15) ? 0
    ? -2 ? x ? 15
    But x is a natural number.
    ? 1 ? x ? 15
    ? Reqd. Probability P = 15/100 = 3/20


  • Probability problems


    Search Results


    • 1. 
      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
    • 2. 
      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
    • 3. 
      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
    • 4. 
      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
    • 5. 
      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
    • Discuss
    • 6. 
      The probability that 9 students pass in Mathematics, Physics and Chemistry are m, p and c respectively, of these subject the students has a 75% chance of passing in at least one subject 50% chance of passing in at least two subject and 40% chance of passing in exactly two. Which of the following relation are true?

    • Options
    • A. p + m + c =19/20
    • B. p + m + c = 17/20
    • C. pmc = 1/10
    • D. pmc = 1/4
    • Discuss
    • 7. 
      If the integer m and n are chosen at random between 1 and 100, then the probability that a number of the from 7 m + 7 n is divisible by 5 equals?

    • Options
    • A. 1/4
    • B. 1/7
    • C. 1/8
    • D. 1/49
    • Discuss
    • 8. 
      If n integer taken at random are multiplied together then the probability that the last digit of the product is 2, 4, 6, 8 is?

    • Options
    • A. 2n/5n
    • B. 4n - 2n / 5n
    • C. 4n/5n
    • D. 8n - 4n / 5n
    • Discuss
    • 9. 
      Two dice and two coins are tossed. The probability that both the coins show head and the sum of the numbers found on the two dice is a prime number is?

    • Options
    • A. 5/72
    • B. 1/12
    • C. 13/144
    • D. 5/48
    • Discuss
    • 10. 
      A speaks truth in 60% of the cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?

    • Options
    • A. 70%
    • B. 36%
    • C. 22%
    • D. 44%
    • Discuss


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