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Probability problems


  • 1. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

  • Options
  • A. 10/21
  • B. 11/21
  • C. 1/2
  • D. 2/7
  • Discuss
  • 2. An unbiased die is tossed.Find the probability of getting a multiple of 3.

  • Options
  • A. 1/3
  • B. 1/2
  • C. 3/4
  • D. 3/2
  • Discuss
  • 3. In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.

  • Options
  • A. 16
  • B. 12
  • C. 10
  • D. 14
  • Also asked in: AIEEE, Bank Exams, CAT

  • Discuss
  • 4. There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

  • Options
  • A. 1/2
  • B. 3/4
  • C. 4/7
  • D. 3/8
  • Discuss
  • 5. In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.

  • Options
  • A. 319/420
  • B. 27/111
  • C. 114/121
  • D. 231/420
  • Discuss
  • 6. 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

  • Options
  • A. 11/379
  • B. 21/628
  • C. 24/625
  • D. 26/247
  • Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

  • Discuss
  • 7. What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

  • Options
  • A. 1/7
  • B. 2/7
  • C. 1/2
  • D. 3/2
  • Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

  • Discuss
  • 8. A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

  • Options
  • A. A gain of Rs. 27
  • B. A loss of Rs. 37
  • C. A loss of Rs. 27
  • D. A gain of Rs. 37
  • Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

  • Discuss
  • 10. An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

  • Options
  • A. 5/204
  • B. 1/204
  • C. 13/204
  • D. None of these
  • Discuss

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