The table below shows the value of probability when three identical coins are tossed. They are not matched correctly: Column-A Column-B i) Getting at most two heads a ) 4 8 ii) Getting at least two heads b ) 5 8 iii) Getting exactly one head c ) 6 8 iv) Getting neither all heads nor all tails d ) 3 8 e ) 7 8

i - e , i i - a , i i i - d , i v - c

i - e , i i - a , i i i - b , i v - d

i - d , i i - b , i i i - a , i v - e

i - d , i i - b , i i i - c , i v - e

EASY

Earn 100

A teacher chooses a student at random from a class of $30$ girls. What is the probability that the student chosen is a girl?

Important Questions on Counting Principles

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

One card is taken out from a well-shuffled deck of

52

cards. Find the probability of getting a red face card.

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

Find the probability of getting a head when a coin is tossed once.

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

A dice is thrown at random. Find the probability of getting an odd number.

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

E_{1}

and

E_{2}

are exclusive events, then

P (E_{1} \cap E_{2})

0

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

Cards bearing numbers

2, 4, 6, 8, 10, 12, 14, 16, 18 a n d 20

are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a number that is a multiple of

6

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

A dice is thrown once. Find the probability of getting a even number(Express the answer in proper fraction n its lowest form).

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

In a random experiment, if the occurrence of one event prevents the occurrence of the other event, it is

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

A die is thrown once. Find the probability of getting an odd number

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

There are

25

discs numbered

1 to 25

. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box. Find the probability the disc is an odd number.

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

Each of the letters of the word $A U T H O R I Z E S$ is written on identical circular discs and put in a bag. They are well shuffled. If a disc is drawn at random from the bag, What is the probability that the letter is one of the first $9$ letters of the English alphabet which appears in the given word.

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

2 \times 2

matrix is filled with four distinct integers randomly chosen from the set

\{1, 2, 3, 4, 5, 6\}

. Then the probability that the matrix generated in such a way is singular is

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

A die is thrown once. Find the probability of getting a number which is a prime number

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

The probability of any sure event is always _____.

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

A pen is drawn at random from a mixture of $12$ defective pens and $132$ good pens. Determine the probability that the pen is taken out is a good one.

Write your answer upto three decimal places.

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

A die is thrown once. Find the probability of getting a number lying between

2

and

6

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

The table below shows the value of probability when three identical coins are tossed. They are not matched correctly:

Column-A	Column-B
i) Getting at most two heads	$a) \frac{4}{8}$
ii) Getting at least two heads	$b) \frac{5}{8}$
iii) Getting exactly one head	$c) \frac{6}{8}$
iv) Getting neither all heads nor all tails	$d) \frac{3}{8}$
	$e) \frac{7}{8}$

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

A die is thrown once. Find the probability of getting a prime number

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

If $n (A) = 2, P (A) = \frac{1}{5}$ , then $n (S) =$ ?

EASY

Quantitative Ability>Arithmetic>Counting Principles>Probability

Cards bearing numbers

2, 4, 6, 8, 10, 12, 14, 16, 18

and

20

are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is : a number is divisible by

4

MEDIUM

Quantitative Ability>Arithmetic>Counting Principles>Probability

Let

a

and

b

2

consecutive integers selected from the first

20

natural numbers. The probability that

\sqrt{a^{2} + b^{2} + a^{2} b^{2}}

is an odd positive integer is

A teacher chooses a student at random from a class of 30 girls. What is the probability that the student chosen is a girl?

Important Questions on Counting Principles

Learn and Prepare for any exam you want !

A teacher chooses a student at random from a class of $30$ girls. What is the probability that the student chosen is a girl?