Quantitative Aptitude: Probability Questions – Set 22

Preeti
  1. Two dice are rolled randomly. Find the probability to get sum is 10.
    2/5
    14
    2/9
    1/12
    5/8
    Option D
    Required = (6 , 4 ) , (4 , 6) , ( 5, 5) = 3
    total = 6 * 6 = 36
    probability = 3/36 = 1/12

     

  2. Two dices are rolled out together, then what is the probability of getting a number of one dice greater than the number of other dice ?
    2/3
    1/6
    3/8
    1/8
    5/6
    Option E
    Non-favorable events = (1 , 1) , (2 , 2) , (3 , 3) , (4 , 4) , (5 , 5) , (6,6) = 6
    total = 6 * 6 = 36
    probability of non-favorable events = 6/36 = 1/6
    probability of favorable events = 1 – 1/6 = 5/6

     

  3. If 2 cards is drawn at randomly from 52 cards, then find the probability of getting both are red cards.
    13/28
    26/105
    28/108
    25/102
    none of these
    Option D
    Required = 26C2 = 26 * 25/2 = 13 * 25
    total = 52C2 = 52 * 51 / 2 = 26 * 51
    probability = 13 * 25 / 26 * 51 = 25 /102

     

  4. In how many ways, we can arrange the letters of the word ‘LIGHT’ ?
    84
    28
    140
    160
    120
    Option E
    Ways = 5! = 5 * 4 * 3 * 2 * 1 = 120

     

  5. In how many different ways, we can arrange the letters of the word ‘MOUSE’ , so that the middle position is always occupied by ‘S’ ?
    25
    24
    48
    42
    68
    Option B
    Ways = 4! = 4 * 3 * 2 * 1 = 24

     

  6. How many ways 6 books can be selected from 14 different books , if two particular books are always selected ?
    495
    480
    231
    384
    520
    Option A
    Available objects = 14 – 2 = 12
    Ways = 12C4 = 12 * 11 * 10 * 9/4 * 3 * 2 * 1 = 495

     

  7. A bag contains 2 white balls, 3 pink balls and 2 black balls. 2 balls are drawn randomly. What is the probability that there is no black balls ?
    8/21
    10/21
    1/8
    3/5
    6/11
    Option B
    Required = 5C2 = 5*4/2 = 10
    total = 7C2 = 7 * 6 / 2 = 21
    probability = 10/21

     

  8. When two coins are tossed simultaneously, then find the probability of getting at least one tail.
    5
    3
    3/4
    1/4
    2/5
    Option C
    Required = ( 1 head , 1 tail ) , ( 2 tails) = (2C1) + (2C2) = 2 + 1 = 3
    total = 2^2 = 4
    probability = 3/4

     

  9. A bag contains 4 red balls, 2 blue balls and 2 green balls . If two balls are drawn randomly from the bag , then find the probability of getting both balls of different color.
    2/7
    5/8
    5/7
    4
    8
    Option C
    probability = 4C1 * 2C1 / 8C2 + 4C1 * 2C1 / 8C2 + 2C1 * 2C1 / 8C2
    (4 * 2 * 2)/ 8 * 7 + (4 * 2 * 2)/ 8 * 7 + (2 * 2 * 2) / 8 * 7 = 2/7 + 2/7 + 1/7 = 5/7

     

  10. A group of students sitting around a rectangular table, find probability of 2 specified students sitting together.
    3/8
    2/7
    8/7
    3/8
    6/11
    Option B
    Favorable cases = 6! * 2!
    total cases = 7!
    probability = 6! * 2! /7! = 2/7

     

Related posts

7 Thoughts to “Quantitative Aptitude: Probability Questions – Set 22”

  1. Learn More Here
    July 3, 2023 at 12:48 pm

    590937 294684When I initially commented I clicked the “Notify me when new comments are added” checkbox and now each time a comment is added I get several e-mails with the same comment. Is there any way you can remove people from that service? Cheers! 943869

  2. dasselta 5 mg recomendado por médicos en Colombia
    August 3, 2023 at 1:21 am

    My family members all the time say that I am wasting my time here at web,
    however I know I am getting knowledge all the time by reading
    thes good posts.

  3. Click In this article
    August 12, 2023 at 5:03 pm

    Your way of telling all in this paragraph is truly good,
    all be capable of simply be aware of it, Thanks a lot.

  4. ¿cómo encontrar el mejor trío en sevilla
    August 13, 2023 at 11:20 pm

    Hey there! I just wanted to ask if you ever have any problems with hackers?
    My last blog (wordpress) was hacked and I ended up losing a
    few months of hard work due to no back up. Do you have any methods to
    prevent hackers?

  5. realidades y desafíos de salir con un trío en donostia
    August 14, 2023 at 5:00 am

    Have you ever thought about including a little bit more than just your articles?
    I mean, what you say is important and all. However just imagine if you added some great graphics
    or videos to give your posts more, “pop”! Your content
    is excellent but with images and videos, this site could certainly be one of
    the most beneficial in its niche. Very good blog!

  6. cómo encontrar una cita erótica
    August 17, 2023 at 5:05 am

    Wow that was unusual. I just wrote an very long comment
    but after I clicked submit my comment didn’t appear.
    Grrrr… well I’m not writing all that over again. Anyway, just wanted to
    say superb blog!

  7. Mckinley
    August 27, 2023 at 11:57 pm

    Hello mates, how is the whole thing, and what you wish for to say
    regarding this paragraph, in my view its actually amazing in support of me.

Comments are closed.