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A basket contains 4 red roses, 5 white lotus and 2 lily flowers. If two flowers are picked at random, what is the probability that either both are red roses or white lotus ?

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Important Questions on Probability

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Mathematics>Algebra>Probability>Axiomatic Approach to Probability

If two different numbers are taken from the set

\{0, 1, 2, 3, . . . . ., 10\}

; then the probability that their sum as well as absolute difference are both multiple of

4

, is:

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

Let

X

be a set containing

10

elements and

P (X)

be its power set. If

A

and

B

are picked up at random from

P (X)

, with replacement, then the probability that

A

and

B

have equal number of elements is:

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

Two different families

A

and

B

are blessed with equal number of children. There are

3

tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to the children of the family

B

\frac{1}{12},

then the number of children in each family is

MEDIUM

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

A determinant of second order is made with the elements 0, 1. What is the probability that the determinant is positive?

EASY

Mathematics>Algebra>Probability>Axiomatic Approach to 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?

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

From a group of

10

men and

5

women, four member committees are to be formed each of which must contain at least one women. Then the probability for these committees to have more women than men, is :

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is:

MEDIUM

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

10

different balls are to be placed in

4

distinct boxes at random, then the probability that two of these boxes contain exactly

2

and

3

balls is:

MEDIUM

Mathematics>Algebra>Probability>Axiomatic Approach to 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?

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

If $12$ identical balls are to be placed in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is

EASY

Mathematics>Algebra>Probability>Axiomatic Approach to 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.

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

Three randomly chosen non negative integers

x, y, z

are found to satisfy the equation

x + y + z = 10

. Then the probability that

z

is even, is

EASY

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

An ellipse of eccentricity

\frac{2 \sqrt{2}}{3}

is inscribed in a circle. A point is chosen inside the circle at random. The probability that the point lies outside the ellipse is

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is:

EASY

Mathematics>Algebra>Probability>Axiomatic Approach to 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:

MEDIUM

Mathematics>Algebra>Probability>Axiomatic Approach to 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?

HARD

Mathematics>Algebra>Probability>Axiomatic Approach to Probability

A multiple choice examination has

5

questions. Each question has three alternative answers out of which exactly one is correct. The probability that a student will get

4

or more correct answers just by guessing is :

EASY

Mathematics>Algebra>Probability>Axiomatic Approach to 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?

MEDIUM

Mathematics>Algebra>Probability>Axiomatic Approach to 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?

A basket contains 4 red roses, 5 white lotus and 2 lily flowers. If two flowers are picked at random, what is the probability that either both are red roses or white lotus ?

Important Questions on Probability

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