Probability Questions

  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

     


Quantitative Aptitude: Probability Questions – Set 23

Two dice are rolled randomly. Find the probability to get sum is 10.2/5142/91/125/8Option D Required = (6 , 4 ) ...

Quantitative Aptitude: Probability Questions – Set 22

Two dice are rolled randomly. Find the probability to get sum is 10.2/5142/91/125/8Option D Required = (6 , 4 ) ...

Quantitative Aptitude: Probability Questions – Set 21

If coins are tossed, then find the probability of getting at least 3 tails on the face.8/941/41/22/5Option D Required = ...

Quantitative Aptitude: Probability Questions – Set 20

A bag contains 8 green balls and 12 blue balls. If a ball is drawn randomly, then find the probability ...

Quantitative Aptitude: Probability Questions – Set 19

Two dices are rolled down simultaneously, then find the probability of getting sum of results on both dices more than ...

Quantitative Aptitude: Probability Questions – Set 18

In how many different ways the letter of 'MORBID' can be arranged ?780720620680none of theseOption B required no. of ways=6!=720 ...

Quantitative Aptitude: Probability Questions – Set 17

In a freeze,there are 6 apples,3 mango , 5 grapes and 2 guava.If three items are picked at random,what is ...

Quantitative Aptitude: Probability Questions – Set 16

A bag contains 3 ruby balls and 8 blue balls and another bag contains 5 ruby balls and 7 blue ...

Quantitative Aptitude: Probability Questions – Set 15

A carton contains 21 balls numbered 1 to 21. A ball is drawn and then another ball is drawn without ...

Quantitative Aptitude: Probability Questions – Set 14

There are 5 boys and 3 girls. A group of 3 members is to be made. Find the probability that ...

Quantitative Aptitude: Probability Questions – Set 13

A bag contains 5 ruby balls and 7 black balls. Two balls are drawn at random without replacement, and then ...

Quantitative Aptitude: Probability Questions – Set 12

Two friends A and B appeared for an selection . Let E1 be the event that A is selected and ...

Quantitative Aptitude: Probability Questions – Set 11

In how many ways can 3 roses and 4 tulips 2 jasmines can be arranged in a garland such that ...

Quantitative Aptitude: Probability Questions – Set 10

A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. 37/145 35/142 33/141 ...

Quantitative Aptitude: Probability Questions – Set 9

In a group of 14 boys and x number of girls, the probability of choosing a girl is 3/5. If ...

Quantitative Aptitude: Probability Questions – Set 8

A basket contains 8 Blue and 10 Brown balls. There is another basket which contains 6 Blue and 8 Brown ...

Quantitative Aptitude: Probability Questions – Set 5

Probability Questions for Bank PO Exams - SBI PO, IBPS PO, NIACL, NICL, BoB PO, and other exams  A bag ...