# Bank Exams :: Quantitative Aptitude :: Probability

## Home Bank Exams / Quantitative Aptitude Probability Questions and Answers

1 . Study the given information carefully and answer the questions that follow.

A basket contains 4 red, 5 blue and 3 green marbles.
If two marbles are drawn at random, what is the probability that both are red ?
$3 \over 7$
$1 \over 2$
$2 \over 11$
$1 \over 6$
None of these
2 . Study the given information carefully and answer the questions that follow.

A basket contains 4 red, 5 blue and 3 green marbles.
If three marbles are picked at random, what is the probability that at least one is blue ?
$7 \over 12$
$37 \over 44$
$5 \over 12$
$7 \over 44$
None of these
3 . Study the given information carefully and answer the questions that follow.

A basket contains 4 red, 5 blue and 3 green marbles.
If three marbles are picked at random, what is the probability that either all are green or all are red ?
$7 \over 44$
$7 \over 12$
$5 \over 12$
$1 \over 44$
None of these
4 .
A basket contains three blue and four red balls. If three balls are drawn at random from the basket, what is the probability that all the three are either blue or red ?
1
$1 \over 7$
$3 \over 14$
$3 \over 28$
None of these
5 .
A bag has 4 red and 5 black balls. A second bag has 3 red and 7 black balls. One ball is drawn from the first bag and two from the second. The probability that there are two black balls and a red ball is :
$14 \over 45$
$11 \over 45$
$7 \over 15$
$9 \over 54$
None of these
6 .
Atul can hit a target 3 times in 6 shots, Bhola can hit the target 2 times in 6 shots and Chandra can hit the 4 times in 4 shots. What is the probability that at least 2 shots (out of 1 shot taken by each one of them) hit the target ?
$1 \over 2$
$2 \over 3$
$1 \over 3$
$5 \over 6$
None of these
7 .
A bag contains 5 white, 7 red and 8 black balls. If 4 balls are drawn one by one with replacement, what is the probability that all are white ?
$1 \over 256$
$1 \over 16$
$4 \over 20$
$4 \over 8$
None of these
8 .
There are 6 positive and 8 negative numbers. Four numbers are chosen at random and multiplied. The probability that the product is a positive number is:
$500 \over 1001$
$503 \over 1001$
$505 \over 1001$
$101 \over 1001$
None of these
9 .
A bag contains 3 white balls and 2 black balls. Another bag contains 2 white balls and 4 black balls. A bag is taken and a ball is picked at random from it. The probability that the ball will be white is:
$7 \over 11$
$7 \over 30$
$5 \over 11$
$7 \over 15$
None of these
10 .
An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two green and one is red ?
$3 \over 7$
$18 \over 35$
$5 \over 14$
$4 \over 21$
None of these
11 .
Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jacks?
$1 \over 13$
$2 \over 13$
$7 \over 1339$
$1 \over 169$
$1 \over 179$
12 .
A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?
12
36
4
10
14
13 .
When three coins are tossed together, the probability that all coins have the same face up, is
$1 \over 3$
$1 \over 6$
$1 \over 8$
$1 \over 12$
$1 \over 17$
14 .
Three students are picked at random from a school having a total of 1000 students. The probability that these three students will have identical date and month of their birth, is
$3 \over 1000$
$3 \over 365$
$1 \over {(365)^2}$
$2 \over 365$
None of these
15 .
Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all the ten particles will be lying in the same half of the box?
$1 \over {2^2}$
$1 \over {2^5}$
$2 \over {2^{1 \over 9}}$
$2 \over {2^{11}}$
$9 \over 42$
16 .
3 digits are chosen at random from 1,2,3,4,5,6,7,8 and 9 without repeating any digit. What is the probability that their product is odd?
$2 \over 3$
$5 \over 108$
$5 \over 42$
$8 \over 42$
$9 \over 42$
17 .
Each of the 3 persons is to be given some identical items such that product of the numbers of items received by each of the three persons is equal to 30. In how many maximum different ways can this distribution be done?
21
24
27
33
35
18 .
Suppose six coins are tossed simultaneously. Then the probability of getting at least one tail is :
$71 \over 72$
$53 \over 54$
$63 \over 64$
$1 \over 12$
None of these
19 .
A box contains 6 white balls and 7 black balls. Two balls are drawn at random. What is the probability that both are of the same colour ?
$5 \over 13$
$6 \over 13$
$7 \over 13$
$6 \over 7$
None of these
20 .
A committee of 4 is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have number of boys less than number of girls?
$1 \over 4$
$1 \over 5$
$1 \over 6$
$1 \over 7$
None of these
21 .
A box contains 4 black balls, 3 red balls and 5 green balls. 2 balls are drawn from the box at random. What is the probability that both the balls are of the same colour?
$47 \over 68$
$1 \over 6$
$19 \over 66$
$2 \over 11$
None of these
22 .
In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?
$1 \over 55$
$54 \over 55$
$45 \over 55$
$3 \over 55$
None of these
23 .
A box contains 5 green, 4 yellow and 3 white marbles. 3 marbles are drawn at random. What is the probability that they are not of the same colour?
$13 \over 44$
$41 \over 44$
$13 \over 55$
$152 \over 55$
None of these
24 .
Out of 15 students studying in a class, 7 are from Maharashtra, 5 from Karnataka and 3 from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
$12 \over 13$
$11 \over 13$
$100 \over 15$
$51 \over 15$
None of these
25 .
Four boys and three girls stand in queue for an interview. The probability that they will stand in alternate positions is:
$1 \over 34$
$1 \over 35$
$1 \over 17$
$1 \over 68$
None of these