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Home Aptitude Probability Comments

  • Question
  • There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?


  • Options
  • A. 1/10
  • B. 1/9
  • C. 1
  • D. 0

  • Correct Answer


  • Explanation

    As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
    P(E) = favorable outcomes /total outcomes
    Here favorable outcomes are '0'.
    So probability is '0'.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    Probability problems


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    • 1. Consider 5 independent Bernoulli?s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

    • Options
    • A. [1, 32]
    • B. (0, 1)
    • C. [1, 1/2]
    • D. (1, 1/2]
    • Discuss
    • 2. The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is

    • Options
    • A. 5/12
    • B. 4/13
    • C. 5/13
    • D. 3/14
    • Discuss
    • 3. The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

    • Options
    • A. 3/70
    • B. 4/70
    • C. 9/70
    • D. 1/50
    • Discuss
    • 4. A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?

    • Options
    • A. 1/4
    • B. 1/5
    • C. 1/2
    • D. 3/4
    • Discuss
    • 5. If p:q are the odds in favour of an event,then the probability of that event is:

    • Options
    • A. p/q
    • B. p/(p+q)
    • C. q/(p+q)
    • D. none
    • Discuss
    • 6. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

    • Options
    • A. 2/13
    • B. 1/13
    • C. 1/26
    • D. 1/52
    • Discuss
    • 7. An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?

    • Options
    • A. 1/12
    • B. 1/9
    • C. 3/4
    • D. 1/2
    • Discuss
    • 8. One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :

    • Options
    • A. 1/13
    • B. 1/12
    • C. 1/14
    • D. 1/15
    • Discuss
    • 9. The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

    • Options
    • A. 3/5
    • B. 1/3
    • C. 2/5
    • D. 3/4
    • Discuss
    • 10. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

    • Options
    • A. 2/3
    • B. 1/2
    • C. 7/8
    • D. 4/5
    • Discuss


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