Quantitative Aptitude

Probability

1,860 Questions

All Sample Space Setup 558 Permutation & Combination Counting 288 Multiplication Theorem (AND) 234 Addition Theorem (OR) 151 At Least One Probability 134 Complement Rule (P(Not A)) 130 Drawing Without Replacement 126 Conditional Probability 75 Bayes' Theorem 69 Drawing With Replacement 49 Success and Failure Rates 46

Probability Questions

Multiple choice

If two fair dice are tossed, find the probability that two consecutive integers turn up.

$0.14$
$0.17$
$0.28$
$0.33$
$0.50$

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Multiple choice

There are $7$ red disks and $5$ yellow disks in bag $X$ and there are $5$ red disks and $15$ yellow disks in bag $Y$. If one disk is selected at random from each bag, find the probability that both disks selected are yellow.

$\dfrac {5}{48}$
$\dfrac {7}{48}$
$\dfrac {1}{16}$
$\dfrac {7}{16}$
$\dfrac {3}{4}$

Reveal answer Fill a bubble to check yourself

Multiple choice

What is the possibility of getting at least 6 heads if eight coins are tossed simultaneously?

$\dfrac{37}{256}$
$\dfrac{25}{57}$
$\dfrac{1}{13}$
$\dfrac{5}{27}$

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Multiple choice

Two dice are thrown. What is the probability that the sum of the two dice is greater than $3$?

$1/4$
$3/4$
$5/6$
$11/12$
$1$

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Multiple choice

If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than $5$ is ______

$\dfrac {5}{36}$
$\dfrac {1}{6}$
$\dfrac {5}{18}$
$\dfrac {13}{18}$

Reveal answer Fill a bubble to check yourself

Multiple choice

While rolling a fair die, find the probability of event that the number that turns in place is even as well as divisible by four.

$\dfrac{1}{4}$
$\dfrac{3}{4}$
$\dfrac{1}{6}$
None of these

Reveal answer Fill a bubble to check yourself

Multiple choice

In the experiment of rolling a dice, find the probability of getting an even number that is multiple of 3.

$\dfrac{2}{5}$
$\dfrac{2}{3}$
$\dfrac{3}{5}$
None of these

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Multiple choice

A box contains $6$ red marbles numbers from $1$ through $6$ and $4$ white marbles $12$ through $15$. Find the probability that a marble drawn 'at random' is white and odd numbered

$5$
$\dfrac {1}{5}$
$6$
$\dfrac {1}{6}$

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Multiple choice

A bag contains three red balls and two blue balls. We remove successively, and with replacement, two balls and observe their colour. What is the probability of "to extract a red ball and a blue one, without taking into account the order"?

$\dfrac{12}{25}$
$\dfrac{13}{25}$
$\dfrac{12}{23}$
None of these

Reveal answer Fill a bubble to check yourself

Multiple choice

A die is thrown a fixed number of times. If probability of getting even number $3$ times is same as the probability of getting even number $4$ times, then probability of getting even number exactly once is

$\dfrac{1}{4}$
$\dfrac{3}{128}$
$\dfrac{5}{64}$
$\dfrac{7}{128}$

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Multiple choice

One card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

$\dfrac{1}{13}$
$\dfrac{2}{13}$
$\dfrac{3}{13}$
$\dfrac{4}{13}$

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Multiple choice

If $2$ cards are drawn from a well shuffled pack of $52$ cards, the probability that they are of the same colours without replacement is:

$\dfrac{1}{2}$
$\dfrac{26}{51}$
$\dfrac{25}{51}$
$\dfrac{25}{102}$

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Multiple choice

A coin and a die is tossed simultaneously. Find the probability of the event that 'tail' and a prime number turns up?

$\displaystyle\frac{1}{2}$
$\displaystyle\frac{1}{4}$
$\displaystyle\frac{1}{3}$
$\displaystyle\frac{2}{3}$

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Multiple choice

A ticket is drawn from a bag containing $100$ tickets. The tickets are numbered from one to hundred. What is the probability of getting a ticket with a number divisible by $10$?

$\dfrac{1}{10}$
$\dfrac{1}{5}$
$\dfrac{1}{20}$
none

Reveal answer Fill a bubble to check yourself

Multiple choice

There are two bags, one of which contains $3$ black and $4$ white balls,$II$ bag contain $4$ black and $3$ white balls. A die is cast, if the number $3$ or less than $3$ turns up, a ball is drawn from $1$ bag and if the face greater than $3$ turns up, a ball is drawn from $II$ bag. It is found that ball drawn is black. Find the probability that it is from bag I.

$\dfrac {3}{14}$
$\dfrac {4}{7}$
$\dfrac {2}{7}$
$\dfrac {3}{7}$

Reveal answer Fill a bubble to check yourself

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