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If two persons $p_{1}$ and $p_{2}$ throw a dice, the probability that $p_{1}$ throws a number higher than $p_{2}$ throws is

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Important Questions on Probability

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Mathematics>Algebra>Probability>Basics of 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 :

HARD

Mathematics>Algebra>Probability>Basics of Probability

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in

2 \times 2

matrices. The probability that such formed matrices have all different entries and are non-singular, is:

HARD

Mathematics>Algebra>Probability>Basics of 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>Basics of 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:

EASY

Mathematics>Algebra>Probability>Basics of Probability

Let

A

and

B

are two mutually exclusive events with

P (A) = \frac{1}{3}

and

P (B) = \frac{1}{4} .

What is the value

P (\bar{A} \cap \bar{B}) ?

HARD

Mathematics>Algebra>Probability>Basics of 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:

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Mathematics>Algebra>Probability>Basics of 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.

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Mathematics>Algebra>Probability>Basics of Probability

A quadratic equation

a x^{2} + b x + c = 0

with distinct coefficients is formed. It

a, b, c

are chosen from the numbers

2, 3

and

5,

then the probability that the equation has real roots is

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Mathematics>Algebra>Probability>Basics of Probability

A person throws two fair dice. He wins Rs.

15

for throwing a doublet (same numbers on the two dice), wins Rs

12

when the throw results in the sum of

9

, and loses Rs.

6

for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:

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Mathematics>Algebra>Probability>Basics of 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?

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Mathematics>Algebra>Probability>Basics of Probability

The probability that among

7

persons, no

2

were born on the same day of a week is

HARD

Mathematics>Algebra>Probability>Basics of Probability

Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than

99 %

is:

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Mathematics>Algebra>Probability>Basics of 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

HARD

Mathematics>Algebra>Probability>Basics of Probability

In a class of

60

students,

40

opted for NCC,

30

opted for NSS and

20

opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is :

HARD

Mathematics>Algebra>Probability>Basics of 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:

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Mathematics>Algebra>Probability>Basics of 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

EASY

Mathematics>Algebra>Probability>Basics of 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

EASY

Mathematics>Algebra>Probability>Basics of 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:

EASY

Mathematics>Algebra>Probability>Basics of Probability

Two cards are drawn at random and one-by-one without replacement from a well-shuffled pack of

52

playing cards. Find the probability that one card is red and the other is black.

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Mathematics>Algebra>Probability>Basics of Probability

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

If two persons p1 and p2 throw a dice, the probability that p1 throws a number higher than p2 throws is

Important Questions on Probability

Learn and Prepare for any exam you want !

If two persons $p_{1}$ and $p_{2}$ throw a dice, the probability that $p_{1}$ throws a number higher than $p_{2}$ throws is