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A box contains white ball, blue ball and violet ball of same shape and size. Athul picks a ball from the box randomly. What is the probability of getting a red ball?

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Important Questions on Data Handling

EASY

Mathematics>Statistics>Data Handling>Chance and probability

A

and

B

are events with

P (A \cup B) = \frac{3}{4}, P (A^{'}) = \frac{2}{3}

and

P (A \cap B) = \frac{1}{4}

then

P (B)

HARD

Mathematics>Statistics>Data Handling>Chance and probability

If the mean and the variance of a binomial variate

X

are

2 & 1

respectively, then the probability that

X

takes a value greater than or equal to one is:

MEDIUM

Mathematics>Statistics>Data Handling>Chance and probability

A shooter can hit a given target with probability

\frac{1}{4} .

She keeps firing a bullet at the target until she hits it successfully three times, and then she stops firing. The probability that she fires exactly six bullets lies in the interval

EASY

Mathematics>Statistics>Data Handling>Chance and probability

A random variable

X ∽ B (n, p) .

If values of mean and variance of

X

are

18

and

12

respectively then total number of possible values of

X

are

HARD

Mathematics>Statistics>Data Handling>Chance and probability

A computer producing factory has only two plants $T_{1}$ and $T_{2}$ . Plant $T_{1}$ produces $20 %$ and plant $T_{2}$ produces $80 %$ of the total computers produced. $7 %$ of computers produced in the factory turn out to be defective. The probability that a computer turns out to be defective which is produced in plant $T_{1}$ is ten times of the computers produced in the plant $T_{2}$ . A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant $T_{2}$ is

MEDIUM

Mathematics>Statistics>Data Handling>Chance and probability

A box contains

b

blue balls and

r

red balls. A ball is drawn randomly from the box and is returned to the box with another ball of the same colour. The probability that the second ball drawn from the box is blue, is

MEDIUM

Mathematics>Statistics>Data Handling>Chance and probability

If a fair coin is tossed

5

times, the probability that heads does not occur two or more times in a row is

EASY

Mathematics>Statistics>Data Handling>Chance and probability

A

and

B

are two events such that

P (A) \neq 0

and

P (B| A) = 1

, then

HARD

Mathematics>Statistics>Data Handling>Chance and probability

An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered

1, 2, 3, \dots, 9

is randomly picked and the number on the card is noted. The probability that the noted number is either

7

8

HARD

Mathematics>Statistics>Data Handling>Chance and probability

In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :

MEDIUM

Mathematics>Statistics>Data Handling>Chance and probability

For the following distribution function $F (x)$ of a random variable $X$

$x$	$1$	$2$	$3$	$4$	$5$	$6$
$F (x)$	$0.2$	$0.37$	$0.48$	$0.62$	$0.85$	$1$

$P (3 < X \leq 5) =$

EASY

Mathematics>Statistics>Data Handling>Chance and probability

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

20

. The probability of selecting a boy from

10 A

\frac{2}{5}

and that of from

10 B

\frac{3}{5}

. How many boys are there in

10 B

HARD

Mathematics>Statistics>Data Handling>Chance and probability

Four persons independently solve a certain problem correctly with probabilities

\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{8}

. Then the probability that the problem is solved correctly by at least one of them is

HARD

Mathematics>Statistics>Data Handling>Chance and probability

Let

A, B

and

C

be three events, which are pair-wise independent and

\bar{E}

denotes the complement of an event

E

. If

P (A \cap B \cap C) = 0

and

P (C) > 0,

then

P [(\bar{A} \cap \bar{B}) | C]

is equal to

EASY

Mathematics>Statistics>Data Handling>Chance and probability

A

and

B

are any two events such that

P (A) + P (B) - P (A a n d B) = P (A)

, then

HARD

Mathematics>Statistics>Data Handling>Chance and probability

A

and

B

are two events such that

P (A \cup B) = P (A \cap B)

, then the incorrect statement amongst the following statements is :

HARD

Mathematics>Statistics>Data Handling>Chance and probability

Two persons

A

and

B

throw a (fair) die

(

six-faced cube with faces numbered from

1

6

)

alternately, starting with

A

. The first person to get an outcome different from the previous one by the opponent wins.The probability that

B

wins is,

EASY

Mathematics>Statistics>Data Handling>Chance and probability

An urn contains

5

red and

2

green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is:

EASY

Mathematics>Statistics>Data Handling>Chance and probability

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

20

. The probability of selecting a boy from

10 A

\frac{2}{5}

and that of from

10 B

\frac{3}{5}

. What is the probability of both the selected students being boys?

EASY

Mathematics>Statistics>Data Handling>Chance and probability

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

20

. The probability of selecting a boy from

10 A

\frac{2}{5}

and that of from

10 B

\frac{3}{5}

. What is the probability of selecting a girl from

10 A

A box contains white ball, blue ball and violet ball of same shape and size. Athul picks a ball from the box randomly. What is the probability of getting a red ball?

Important Questions on Data Handling

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