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

A die is rolled three times, the probability of getting a large number then the previous number is

$\dfrac {5}{216}$
$\dfrac {5}{54}$
$\dfrac {1}{6}$
$\dfrac {5}{36}$

Reveal answer Fill a bubble to check yourself

Multiple choice

Three unbiased cins are tossed. What is the probability of getting atmost two heads?

$\dfrac{3}{ 4}$
$\dfrac{1} {4}$
$\dfrac{3}{8}$
$\dfrac{7}{8}$

Reveal answer Fill a bubble to check yourself

Multiple choice

In a bag there are six balls of unknown colours three balls are drawn and found to be black; find the chance that no black ball is left in the bag.

$\dfrac{1}{35}$
$\dfrac{1}{3}$
$\dfrac{2}{35}$
$\dfrac{1}{5}$

Reveal answer Fill a bubble to check yourself

Multiple choice

In a multipe choice question there are four alternative answers of which one or more then one is correct. A candidate will get marks on the question only if he ticks all he correct answer. The candidate decides to tick answer at random. If he is allowed upto three chance to answer the question, the probability that he will get marks on it is given by :

$1-(14/15)^{3}$
$(1/15)^{3}$
$1/5$
$(14/15)^{3}$

Reveal answer Fill a bubble to check yourself

Multiple choice

A coin is tossed 10 times and the outcomes are observed as H, T, H, T, T, H, H, T, H, H (H is Head; T is Tail) What is the probability of getting Head?

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

Reveal answer Fill a bubble to check yourself

Multiple choice

Two cards are drawn at random form a pack of $52$ cards. The probability that both are the cards of spade is

$\dfrac{1}{26}$
$\dfrac{1}{4}$
$\dfrac{1}{17}$
$\dfrac{1}{52}$

Reveal answer Fill a bubble to check yourself

Multiple choice

One card is drawn from a well shuffled deck of $52$ cards. The probability of getting a red face card.

$\dfrac{3}{52}$
$\dfrac{1}{26}$
$\dfrac{1}{13}$
$\dfrac{1}{15}$

Reveal answer Fill a bubble to check yourself

Multiple choice

Six fair coins are tossed simultaneously. Number of ways in which atmost three of the coins turn up as heads in a definite order, is

$32$
$41$
$42$
$6$

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Multiple choice

A coin is tossed any number of times until a head appears. If $x$ denotes the number of tosses till head appear then $P(x\ge 3)=$

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

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Multiple choice

A dice is thrown once. The probability of getting the square of the number appearing on the dice to be a multiple of 9 is

$\dfrac { 1 }{ 3 } $
$\dfrac { 2 }{ 3 } $
$\dfrac { 1 }{ 2 } $
$\dfrac { 1 }{ 6 } $

Reveal answer Fill a bubble to check yourself

Multiple choice

A coin is tossed $1000$ times, if the probability of getting a tail is $3/8$, how many times head is obtained

$525$
$375$
$625$
$725$

Reveal answer Fill a bubble to check yourself

Multiple choice

Probability of getting an even number when a dice is thrown is.

$\dfrac { 1 } { 2 }$
$\dfrac { 3 } { 4 }$
$\dfrac { 5 } { 8 }$
$\dfrac { 7 } { 9 }$

Reveal answer Fill a bubble to check yourself

Multiple choice

The card drawn is either a heart, a king or a queen

$\dfrac{17}{52}$
$\dfrac{21}{52}$
$\dfrac{19}{52}$
$\dfrac{9}{26}$

Reveal answer Fill a bubble to check yourself

Multiple choice

A bag contains $18$ balls out of which $x$ balls are red. If one ball is drawn at random from the bag, then what is the probability that it is not red if x is 6?

$\dfrac{2}{3}$
$\dfrac{3}{18}$
$\dfrac{18}{6}$
$1+\dfrac{6}{18}$

Reveal answer Fill a bubble to check yourself

Multiple choice

A bag contains identical discs marked $1$ to $15$. One disc is selected at random, find the probability.

It is multiple of $3$
It is a prime number:
It is neither divisible by $3$ nor by $5$
None of these

Reveal answer Fill a bubble to check yourself

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