MEDIUM

Earn 100

If P be the probability of three person having the same date and month for the birthday (Assuming their birthday falls in non - leap year). Then ${(365)}^{2} . P + 2$ is equal to :

100% studentsanswered this correctly

Important Questions on Probability

EASY

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to Probability

Letters in the word

H U L U L U L U

are rearranged. The probability of all three

L

being together is

EASY

Mathematics>Statistics and Probability>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>Statistics and Probability>Probability>Axiomatic Approach to 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.

HARD

Mathematics>Statistics and Probability>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>Statistics and Probability>Probability>Axiomatic Approach to 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.

HARD

Mathematics>Statistics and Probability>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>Statistics and Probability>Probability>Axiomatic Approach to 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>Statistics and Probability>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

EASY

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to 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}) ?

MEDIUM

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to 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:

HARD

Mathematics>Statistics and Probability>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:

MEDIUM

Mathematics>Statistics and Probability>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?

HARD

Mathematics>Statistics and Probability>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:

EASY

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to Probability

A coin is tossed three times. If

X

denotes the absolute difference between the number of heads and the number of tails then

P (X = 1) =

EASY

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to Probability

The probability that among

7

persons, no

2

were born on the same day of a week is

MEDIUM

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to 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

HARD

Mathematics>Statistics and Probability>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:

MEDIUM

Mathematics>Statistics and Probability>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>Statistics and Probability>Probability>Axiomatic Approach to 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:

HARD

Mathematics>Statistics and Probability>Probability>Axiomatic Approach to 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 :

If P be the probability of three person having the same date and month for the birthday (Assuming their birthday falls in non - leap year). Then 3652.P+2 is equal to :

Important Questions on Probability

Learn and Prepare for any exam you want !

If P be the probability of three person having the same date and month for the birthday (Assuming their birthday falls in non - leap year). Then ${(365)}^{2} . P + 2$ is equal to :