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A bag contains 8 white and 9 black balls. Balls are drawn one by one. Two draws of one ball each are made without replacement. What is the probability that one is white and other is black?

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Important Questions on Counting Principles

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Two dices are rolled. If both dices have six faces numbered

1, 2, 3, 5, 7

and

11,

then the probability that the sum of the numbers on the top faces is less than or equal to

8

is:

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

In a college, $\frac{1}{5} t h$ of the girls and $\frac{1}{8} th$ of the boys took part in a social camp. The total number of students in the college took part in the camp is:

HARD

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

The probability that a randomly chosen

5

- digit number is made from exactly two digits is :

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

The numbers

a

and

b

are choosen randomly from the set

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

with replacement such that

a

and

b

are prime to each other. Then the probability that is

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

There are

3

red balls,

4

blue balls and

5

white balls.

2

balls are chosen randomly. Find the probability that one is red and the other is white.

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

a

is an integer lying in

[- 11, 14]

, then the probability that the graph o

y = x^{2} + 2 (a + 6) x + a + 62

is strictly above the

x

-axis is

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Two letters are chosen from the letters of the word 'EQUATIONS'. The probability that one is vowel and the other is consonant is

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Which of the following cannot be the probability of an event?

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

A bag contains

3

red balls,

5

yellow balls and

7

pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

MEDIUM

Quantitative Aptitude>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

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Two persons

A

and

B

throw a die alternatively till one of them gets a three and wins the game. Find their respective probabilities of winning.

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

A bag contains

6

black and

8

white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

There are $6$ defective items in a sample of $20$ items. One item is drawn at random. The probability that it is a non-defective item is:

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Two numbers

x

and

y

are chosen at random from the set {

x : 0 \leq x \leq 10, x

is an integer). The probability for

|x - y| = 5

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

If $P (A) = \frac{2}{3}$ , $P (\bar{A})$ is

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

A die is thrown three times and the sum of the three numbers thrown is

15

, then the probability that the first throw was a four is

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

In a given village there are only three sizes of families: families with

2

members, familes with

4

members and families with

6

members. The proportion of families with

2, 4

and

6

members are roughly equal. A poll is conducted in this village wherein a person is chosen at random and asked about his/her family size. The average family size computed by sampling

1000

such persons from the village would be closest to

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

Six persons $A, B, C, X, Y & Z$ go for an interview. What is the probability of selection of $A$ and $Y$ in the interview?

MEDIUM

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

There are

6

red balls and

4

yellow balls in a bag. Two balls are simultaneously drawn at random. What is the probability that both the balls are of same colour?

EASY

Quantitative Aptitude>Arithmetic>Counting Principles>Probability

What is the probability that a number selected from numbers

1, 2, 3,_______30

, is a prime number, when each of the given numbers is equally likely to be selected?

A bag contains 8 white and 9 black balls. Balls are drawn one by one. Two draws of one ball each are made without replacement. What is the probability that one is white and other is black?

Important Questions on Counting Principles

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