Quantitative Aptitude: Probability Questions – Set 16

  1. A bag contains 3 ruby balls and 8 blue balls and another bag contains 5 ruby balls and 7 blue balls.One ball is drawn at random from either of the bag.Find the probability that the ball is ruby?
    94/265
    96/254
    98/252
    91/264
    None of these
    Option D
    (1/2) * (3/11) + (1/2) * (5/12)

     

  2. In a race of 12 bikes,the probability that bike A will win is 1/5 and of bike B is 1/6 and that of bike C is 1/3.Find the probability that only one of them won the race?
    5/9
    6/7
    7/10
    7/12
    None of these
    Option C
    1/5+1/6+1/3=7/10

     

  3. P and Q are two friends sitting in a circular arrangement with 8 other friends.Find the probabiity that both P and Q sit together?
    1/5
    2/7
    2/9
    3/10
    None of these
    Option C

     

  4. From a pack,if 3 cards are drwan at random one after the other with replacement,find the probability that one is ace,one is jack and one is queen?
    15/7725
    16/5525
    20/5874
    25/9425
    None of these
    Option B

     

  5. A box contains 50 toffees,numbered from 1 to 50.If three toffees are drawn at random at replacement.What is the probability that sum of yhe numbers arre odd?
    1/3
    1/2
    1/5
    1/7
    1/6
    Option B

     

  6. A pack contains 4 ruby,5 grey and 6 white balls.If one ball is drwan at random,find the probability that is neither ruby nor white?
    1/2
    1/5
    1/6
    1/3
    None of these
    Option D
    =5C1/15C1

     

  7. Find the probability that in leap year,the number of Momdays are 53?
    1/7
    2/7
    3/7
    4/7
    5/7
    Option B

     

  8. A bag contains 5 blue and 8 yellow balls.Four balls are drwan at random and not replaced.Wat is the probability that they are of different colors alternatively?
    52/487
    56/429
    54/481
    51/529
    None of these
    Option B

     

  9. 12 students are seating together in a circular table.Find the probability that 3 particular student are always seated together?
    3/55
    1/55
    4/55
    5/42
    None of these
    Option A
    Probability=(9!*3!) /11!

     

  10. In how many different ways “FAVOUR” can be arranged?
    720 ways
    820 ways
    840 ways
    700 ways
    None of these
    Option A
    6*5*4*3*2*1