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

An urn contains 4 white & 9 Blue balls.K balls are drawn with replacement .Let P(K) be the probability that no two balls appear in succession.

$p(1)=1$
$p(2)=1-{ \left( \frac { 4 }{ 13 } \right) }^{ 2 }$
$p(4)=\frac {9^4+4.9^3+4.9^2.13} {(13)^4}$
$p(1)+p(2)= \frac {250} {169}$

Reveal answer Fill a bubble to check yourself

Multiple choice

What is the chance that a leap year, selected at random, will contain fifty three Sundays ?

$\dfrac{6}{7}$
$\dfrac{2}{7}$
$\dfrac{4}{7}$
$\dfrac{3}{7}$

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Multiple choice

Two symmetrical dice are thrown. The probability that the sum of the number appearing is $11$, if $5$ appears on the $1st$ dei

$\dfrac { 1 }{ 18 }$
$\dfrac { 1 }{ 6 }$
$\dfrac { 1 }{ 3 }$
$\dfrac { 1 }{ 9 }$

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Multiple choice

A dice is thrown once . Find the probability of getting a number which is not a factor of $36$.

$\dfrac4 6$
$\dfrac1 6$
$\dfrac3 6$
$\dfrac2 6$

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Multiple choice

A dice is rolled. What is the probability of getting a perfect square number on the upper face?

$\frac{1}{6}$
$\frac{1}{3}$
$\frac{2}{3}$
$\frac{5}{6}$

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Multiple choice

Probability of product of a perfect square when $2$ dice are thrown together, is

$\dfrac{2}{9}$
$\dfrac{1}{9}$
$\dfrac{5}{18}$
$None\ of\ these$

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Multiple choice

An urn contains $3$ red, $4$ blue and $2$ green balls. Three balls are selected. Find the probability that they are of different colors.

$\dfrac{1}{2}$
$\dfrac{2}{23}$
$\dfrac{2}{7}$
$\dfrac{1}{3}$

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Multiple choice

A bag contains four balls colours of which are unknown. Two balls drawn and are found to be white. The probability that all the balls in the bag are white is

$\dfrac{1}{5}$
$\dfrac{2}{5}$
$\dfrac{3}{5}$
$\dfrac{4}{5}$

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Multiple choice

A coin is tossed twice, if the second throw result in a tail, a die is thrown. Then, the total number of the outcomes of this experiment is

$11$
$13$
$14$
$16 $

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Multiple choice

A bag has four pairs of a balls of a four distinct colours. If four balls are picked at random (without replacement), then the probability that there is atleast one pair among them have the same colour, is

$\dfrac {1}{71}$
$\dfrac {8}{35}$
$\dfrac {19}{35}$
$\dfrac {27}{35}$

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Multiple choice

If a card is drawn from a pack of cards then the probability of selecting a club card or king card is

$\dfrac{17}{52}$
$\dfrac{4}{13}$
$\dfrac{14}{52}$
$\dfrac{15}{52}$

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Multiple choice

Two dice are thrown at a time. Find the probability that the difference of numbers shown on the dice is $2 .$

$\dfrac{8} {36}$
$\dfrac{19} {36}$
$\dfrac{11} {36}$
$\dfrac{7} {36}$

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Multiple choice

If two dice are thrown simultaneously, then the probability of getting a doublet or a total of $6$ is

$\dfrac{1}{3}$
$\dfrac{5}{18}$
$\dfrac{7}{18}$
$\dfrac{11}{36}$

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Multiple choice

A single fair die is to be rolled until either a one or two is rolled. The probability that at least $3$ rolls are needed, is

$\dfrac{2}{9}$
$\dfrac{4}{5}$
$\dfrac{5}{9}$
$\dfrac{7}{9}$

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Multiple choice

A fair coin is tossed $4$ times. Then the probability of getting one time head and $3$ times tail is:

$\dfrac14$
$\dfrac34$
$\dfrac12$
$\dfrac38$

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