EASY

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A die is thrown $24$ times, $4$ is obtained $12$ times. The probability of number $' 4'$ to come up is $k$ . The value of $k$ is:

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Important Questions on Data Handling

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

Three different numbers are chosen at random from the set

{1, 2, 3, 4, 5}

and arranged in increasing order. The probability that the resulting sequence is an A.P. is

MEDIUM

Mathematics>Statistics>Data Handling>Chance and 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:

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

A jar contains

7

black balls,

6

yellow balls,

4

green balls and

3

red balls. All of them are of same size and weight. If a ball is drawn at random, then the probability of the ball being red is

MEDIUM

Mathematics>Statistics>Data Handling>Chance and Probability

Four persons

A, B, C

and

D

throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that

A

wins if

A

begins?

MEDIUM

Mathematics>Statistics>Data Handling>Chance and 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

Mathematics>Statistics>Data Handling>Chance and Probability

An executive in a company makes on an average

5

telephone calls per hour at a cost of Rs.

2

per call. The probability that in any hour the cost of the calls exceeds a sum of Rs.

4

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast

5

MEDIUM

Mathematics>Statistics>Data Handling>Chance and Probability

A game consists of tossing a coin

3

times and noting the outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.

MEDIUM

Mathematics>Statistics>Data Handling>Chance and Probability

Three players

A, B

and

C

play a game. The probability that

A, B

and

C

will finish the game are respectively

\frac{1}{2}, \frac{1}{3}

and

\frac{1}{4}

.

The probability that the game is finished is.

HARD

Mathematics>Statistics>Data Handling>Chance and Probability

An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is:

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

A class consists of

80

students,

25

of them are girls and

55

are boys. If

10

of them are rich and rest poor and also

20

are intelligent, probability of choosing poor not intelligent boy is

HARD

Mathematics>Statistics>Data Handling>Chance and 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 :

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

A fair coin is tossed

n -

times such that the probability of getting at least one head is at least

0.9 .

Then the minimum value of

n

is _______.

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

Two dice are rolled. If each die has six faces which are numbered

2, 3, 5, 7, 11, 13

then the probability that sum of the numbers on the top faces being a prime number is

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

An integer is chosen at random between $1 and 100$ . Find the probability that it is divisible by $8$ .

MEDIUM

Mathematics>Statistics>Data Handling>Chance and Probability

Two different dice are tossed together. Find the probability of getting a sum

10

, of the numbers on the two dice.

EASY

Mathematics>Statistics>Data Handling>Chance and Probability

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

2

and

6

HARD

Mathematics>Statistics>Data Handling>Chance and 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>Data Handling>Chance and Probability

Consider the following events:

$E_{1} :$ Six fair dice are rolled and at least one die shows six
$E_{2} :$ Twelve fair dice are rolled and at least two dice show six
Let $p_{1}$ be the probability of $E_{1}$ and $p_{2}$ be the probability of $E_{2} .$ Which of the following is true ?

MEDIUM

Mathematics>Statistics>Data Handling>Chance and Probability

If the probability of hitting a target by a shooter, in any shot is

\frac{1}{3},

then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than

\frac{5}{6},

is:

A die is thrown 24 times, 4 is obtained 12 times. The probability of number '4' to come up is k. The value of k is:

Important Questions on Data Handling

Learn and Prepare for any exam you want !

A die is thrown $24$ times, $4$ is obtained $12$ times. The probability of number $' 4'$ to come up is $k$ . The value of $k$ is: