992 + Mcqs in Probability in General Aptitude Page 5 McqOptions

201.	A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E ∪ F) equal to?
A.	$\dfrac{1}{4}$
B.	$\dfrac{1}{2}$
C.	$\dfrac{3}{4}$
D.	$\dfrac{1}{3}$
Answer» D. $\dfrac{1}{3}$

Discussion

202.	If A and B are two events such that $\rm P(A)=\dfrac{3}{4} \:and\: P(B)=\dfrac{5}{8}$, then consider the following statements:1. The minimum value of P(A ∪ B) is $\dfrac{3}{4}.$2. The maximum value of P(A ∩ B) is $\dfrac{5}{8}.$Which of the above statements is/are correct?
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2

Discussion

203.	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:
A.	1/10
B.	1/5
C.	3/10
D.	3/20
Answer» B. 1/5

Discussion

204.	A trading website states 40% of its customers prefer to buy that particular stock, what is the probability that a customer will not prefer to buy stock?
A.	0.1
B.	0.6
C.	0.8
D.	0.4
Answer» C. 0.8

Discussion

205.	A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answer at random and answer to different are independent, then the probability of atleast one correct answer is
A.	0.237
B.	0.00076
C.	0.7627
D.	1
Answer» D. 1

Discussion

206.	For calculating posterior probabilities (conditional probabilities under statistical dependence), the following information is available a) conditional probabilities b) original probability estimates (prior probabilities) of mutually exclusive and collectively exhaustive events c) Arbitrary event with probability # 0 and for which conditional probabilities are also known d) Joint probabilities of prior probability and conditional probability Given the information that the arbitrary event has occurred, arrange the above information in a sequence of their requirement as per Baye's Theorem Choose the correct option:
A.	→ b) → d) → c)
B.	→ b) → a) → d)
C.	→ c) → d) → a)
D.	→ a) → d) → c)
Answer» E.

Discussion

207.	A retail chain company has identified four sites A, B, C and D to open a new retail store. The company has selected four factors as the basis for evaluation of these sites. The factors, their weights, and the score for each site are given in the following table. Factor FactorweightScore for site (out of 100)ABCDAverage community income0.460708050Demand growth potential0.130805040Proximity to existing store0.350104060Availability of public transport0.240304020The site which should be selected for opening the new retail store is
A.	Site A
B.	Site B
C.	Site C
D.	Site D
Answer» D. Site D

Discussion

208.	A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?
A.	$\frac{1}{2}$
B.	$\frac{4}{7}$
C.	$\frac{5}{9}$
D.	$\frac{{12}}{{13}}$
Answer» C. $\frac{5}{9}$

Discussion

209.	A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman is
A.	$\frac{1}{6}$
B.	$\frac{2}{3}$
C.	$\frac{1}{3}$
D.	$\frac{1}{2}$
Answer» C. $\frac{1}{3}$

Discussion

210.	Let a random variable X have a binomial distribution with mean 8 and variance 4. If $P\left( {X \le 2} \right) = \frac{k}{{{2^{16}}}}$, then k is equal to:
A.	17
B.	121
C.	1
D.	137
Answer» E.

Discussion

211.	An urn contains 5 red ball and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is
A.	$\frac{1}{2}$
B.	$\frac{4}{9}$
C.	$\frac{5}{9}$
D.	$\frac{6}{9}$
Answer» B. $\frac{4}{9}$

Discussion

212.	Consider a random variable X which follows Binomial distribution with parameters n = 10 and $\rm p = \dfrac{1}{5}$. Then Y = 10 - X follows Binomial distribution with parameters n and p respectively given by
A.	$5, \dfrac{1}{5}$
B.	$5, \dfrac{2}{5}$
C.	$10, \dfrac{3}{5}$
D.	$10, \dfrac{4}{5}$
Answer» E.

Discussion

213.	A pair of fair dice is thrown. What is the probability that the sum of the numbers of both dice is 5?
A.	4/36
B.	1/36
C.	5/36
D.	6/36
Answer» B. 1/36

Discussion

214.	Let S = {1, 2, … , 20}. A subset B of S is said to be “nice”, if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is “nice” is:
A.	$\frac{7}{{{2^{20}}}}$
B.	$\frac{5}{{{2^{20}}}}$
C.	$\frac{4}{{{2^{20}}}}$
D.	$\frac{6}{{{2^{20}}}}$
Answer» C. $\frac{4}{{{2^{20}}}}$

Discussion

215.	One bag contain 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a ball is drawn from it, what is the chance that it is white?
A.	3/8
B.	49/80
C.	8/13
D.	1/2
Answer» C. 8/13

Discussion

216.	How many different ways can a ten card hand be dealt from a standard 52 card deck, if order in which the cards are dealt is unimportant?
A.	42C10
B.	42P10
C.	52C10
D.	52P10
Answer» D. 52P10

Discussion

217.	In a class there are 15 boys and 10 girls. Two students are selected at random. What is the probability of selecting one boy and one girl?
A.	1/3
B.	1/2
C.	1/4
D.	1/5
Answer» C. 1/4

Discussion

218.	Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: Two dice are thrown simultaneously. What is the probability of getting even number on both the dice?Quantity II: 1/3
A.	Quantity I ≤ Quantity II
B.	Quantity I > Quantity II
C.	Quantity I ≥ Quantity II
D.	Quantity I < Quantity II
E.	Quantity I = Quantity II
Answer» E. Quantity I = Quantity II

Discussion

219.	A problem in mathematics is given to four students A, B, C and D whose chances of solving it are $\dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4}$ and $\dfrac{1}{5}$ respectively. What is the chance that the problem will be solved?
A.	$\dfrac{1}{120}$
B.	$\dfrac{1}{15}$
C.	$\dfrac{119}{120}$
D.	$\dfrac{4}{5}$
Answer» E.

Discussion

220.	A dice is thrown, what is the probability getting composite number?
A.	2/3
B.	1/3
C.	4/5
D.	1/2
Answer» C. 4/5

Discussion

221.	In an entrance test there are multiple choice questions, with four possible answer to each question of which one is correct, The probability that a student knows the answer to a question is 90%, If the student gets the correct answer to a question, then the probability that he was guessing is
A.	37/40
B.	1/37
C.	36/37
D.	1/9
Answer» C. 36/37

Discussion

222.	A and B are two events such that A̅ and B̅ are mutually exclusive. If P(A) = 0.5 and P(B) = 0.6, then what is the value of P(A\|B)?
A.	$\frac{1}{5}$
B.	$\frac{1}{6}$
C.	$\frac{2}{5}$
D.	$\frac{1}{3}$
Answer» C. $\frac{2}{5}$

Discussion

223.	A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps, he is one step away from the starting point is
A.	462(0.34)2
B.	462(0.04)2
C.	462(0.14)2
D.	462(0.24)2
Answer» E.

Discussion

224.	If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct/1) P(A̅) + P(B̅) = 2 – 2p – q2) P(A̅ ∩ B̅) = 1 – p – qSelect the correct answer using the code given below:
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2

Discussion

225.	2 leaves are randomly extracted from a pack of 52 leaves without replacement. By what probability (probability) can you say that both leaves are black?
A.	27 / 100
B.	1 / 4
C.	25 / 102
D.	27 / 102
Answer» D. 27 / 102

Discussion

226.	A dice is thrown, what is the probability getting number divisible by 4?
A.	1/6
B.	4/5
C.	1/3
D.	2/3
Answer» B. 4/5

Discussion

227.	If three dice are rolled simontaneously then find the probability of getting three sixes.
A.	1/12
B.	1/36
C.	1/18
D.	1/6
E.	1/216
Answer» F.

Discussion

228.	A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?
A.	0.98
B.	0.91
C.	0.7
D.	0.49
Answer» C. 0.7

Discussion

229.	How many elements does A ∩ B have?
A.	12
B.	8
C.	10
D.	20
Answer» E.

Discussion

230.	In throwing of a dice, what is the probability of not getting 4?
A.	1/3
B.	5/6
C.	1/6
D.	4/6
Answer» C. 1/6

Discussion

231.	Mohan is father of 3 children with atleast one boy. The probability that he has 2 boys and 1 girl is
A.	1/2
B.	1/3
C.	1/4
D.	2/3
Answer» C. 1/4

Discussion

232.	If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be
A.	Poisson
B.	Gaussian
C.	Exponential
D.	Gamma
Answer» B. Gaussian

Discussion

233.	In a general survey of 832 people, it was found that 624 owned a car. If a person is selected randomly, what is the probability that the person will not be an owner of a car?
A.	1.33
B.	0.25
C.	0.75
D.	0.4
Answer» C. 0.75

Discussion

234.	A listing of the possible outcomes of an experiment and their corresponding probability is called
A.	ayesian table
B.	andom Variable
C.	ontingency table
D.	robability distribution
Answer» E.

Discussion

235.	There are 12 boys and 8 girls in a tuition centre. If three of them scored first mark, then what is the probability that one of the three is a girl and the other two are boys?
A.	$\frac{{14}}{{75}}$$
B.	$\frac{{22}}{{55}}$$
C.	$\frac{{44}}{{95}}$$
D.	one of these
Answer» D. one of these

Discussion

236.	A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety.
A.	$\frac{{632}}{{713}}$$
B.	$\frac{{752}}{{833}}$$
C.	$\frac{{833}}{{858}}$$
D.	one of these
Answer» D. one of these

Discussion

237.	Find the probability that getting 4 digit number with 1 in the unit place and 2 in the tens place when the numbers 1, 2, 3, 4 and 5 are arranged at random without repeating.
A.	$\frac{{1}}{{5}}$$
B.	$\frac{{1}}{{10}}$$
C.	$\frac{{1}}{{15}}$$
D.	$\frac{{1}}{{20}}$$
Answer» E.

Discussion

238.	A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is:
A.	$\frac{{2}}{{126}}$$
B.	$\frac{{3}}{{286}}$$
C.	$\frac{{12}}{{121}}$$
D.	$\frac{{13}}{{211}}$$
Answer» C. $\frac{{12}}{{121}}$$

Discussion

239.	Bag contain 10 black and 20 white balls, One ball is drawn at random. What is the probability that ball is white
A.	$\frac{{1}}{{3}}$$
B.	$\frac{{2}}{{3}}$$
C.	$\frac{{1}}{{2}}$$
D.	$\frac{{4}}{{3}}$$
Answer» C. $\frac{{1}}{{2}}$$

Discussion

240.	On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face is 8. What is the probability that the first throw of dice yields 4?
A.	$\frac{{2}}{{36}}$$
B.	$\frac{{1}}{{36}}$$
C.	$\frac{{1}}{{6}}$$
D.	$\frac{{1}}{{5}}$$
Answer» C. $\frac{{1}}{{6}}$$

Discussion

241.	Two friends A and B apply for a job in the same company. The chances of A getting selected is $$\frac{{2}}{{5}}$$ and that of B is $$\frac{{4}}{{7}}$$. What is the probability that both of them get selected?
A.	$\frac{{8}}{{35}}$$
B.	$\frac{{34}}{{35}}$$
C.	$\frac{{27}}{{35}}$$
D.	one of these
Answer» B. $\frac{{34}}{{35}}$$

Discussion

242.	10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
A.	$\frac{{1}}{{10}}$$
B.	$\frac{{9}}{{10}}$$
C.	$\frac{{1}}{{5}}$$
D.	$\frac{{3}}{{10}}$$
Answer» D. $\frac{{3}}{{10}}$$

Discussion

243.	From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -
A.	$\frac{{1}}{{26}}$$
B.	$\frac{{3}}{{52}}$$
C.	$\frac{{15}}{{26}}$$
D.	$\frac{{11}}{{26}}$$
Answer» B. $\frac{{3}}{{52}}$$

Discussion

244.	If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -
A.	$\frac{{19}}{{52}}$$
B.	$\frac{{17}}{{52}}$$
C.	$\frac{{5}}{{13}}$$
D.	$\frac{{4}}{{13}}$$
Answer» E.

Discussion

245.	The probability that a number selected at random from the first 50 natural numbers is a composite number is -
A.	$\frac{{21}}{{25}}$$
B.	$\frac{{17}}{{25}}$$
C.	$\frac{{4}}{{25}}$$
D.	$\frac{{8}}{{25}}$$
Answer» C. $\frac{{4}}{{25}}$$

Discussion

246.	If a number is chosen at random from the set {1, 2, 3, ......., 100}, then the probability that the chosen number is a perfect cube is -
A.	$\frac{{1}}{{25}}$$
B.	$\frac{{1}}{{2}}$$
C.	$\frac{{4}}{{13}}$$
D.	$\frac{{1}}{{10}}$$
Answer» B. $\frac{{1}}{{2}}$$

Discussion

247.	A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -
A.	$\frac{{8}}{{15}}$$
B.	$\frac{{2}}{{5}}$$
C.	$\frac{{3}}{{5}}$$
D.	$\frac{{7}}{{15}}$$
Answer» E.

Discussion

248.	If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -
A.	$\frac{{1}}{{4}}$$
B.	$\frac{{1}}{{2}}$$
C.	$\frac{{3}}{{4}}$$
D.	$\frac{{3}}{{5}}$$
Answer» C. $\frac{{3}}{{4}}$$

Discussion

249.	The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is -
A.	0.4869
B.	0.5904
C.	0.6234
D.	0.5834
Answer» C. 0.6234

Discussion

250.	A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag.Find the probability that one ball is red and one is green.
A.	$\frac{{19}}{{20}}$$
B.	$\frac{{17}}{{20}}$$
C.	$\frac{{8}}{{10}}$$
D.	$\frac{{21}}{{40}}$$
Answer» E.

Discussion

222.	A and B are two events such that A̅ and B̅ are mutually exclusive. If P(A) = 0.5 and P(B) = 0.6, then what is the value of P(A\|B)?
A.	\(\frac{1}{5}\)
B.	\(\frac{1}{6}\)
C.	\(\frac{2}{5}\)
D.	\(\frac{1}{3}\)
Answer» C. \(\frac{2}{5}\)

201.	A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E ∪ F) equal to?
A.	\(\dfrac{1}{4}\)
B.	\(\dfrac{1}{2}\)
C.	\(\dfrac{3}{4}\)
D.	\(\dfrac{1}{3}\)
Answer» D. \(\dfrac{1}{3}\)

202.	If A and B are two events such that \(\rm P(A)=\dfrac{3}{4} \:and\: P(B)=\dfrac{5}{8}\), then consider the following statements:1. The minimum value of P(A ∪ B) is \(\dfrac{3}{4}.\)2. The maximum value of P(A ∩ B) is \(\dfrac{5}{8}.\)Which of the above statements is/are correct?
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2

208.	A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?
A.	\(\frac{1}{2}\)
B.	\(\frac{4}{7}\)
C.	\(\frac{5}{9}\)
D.	\(\frac{{12}}{{13}}\)
Answer» C. \(\frac{5}{9}\)

212.	Consider a random variable X which follows Binomial distribution with parameters n = 10 and \(\rm p = \dfrac{1}{5}\). Then Y = 10 - X follows Binomial distribution with parameters n and p respectively given by
A.	\(5, \dfrac{1}{5}\)
B.	\(5, \dfrac{2}{5}\)
C.	\(10, \dfrac{3}{5}\)
D.	\(10, \dfrac{4}{5}\)
Answer» E.

214.	Let S = {1, 2, … , 20}. A subset B of S is said to be “nice”, if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is “nice” is:
A.	\(\frac{7}{{{2^{20}}}}\)
B.	\(\frac{5}{{{2^{20}}}}\)
C.	\(\frac{4}{{{2^{20}}}}\)
D.	\(\frac{6}{{{2^{20}}}}\)
Answer» C. \(\frac{4}{{{2^{20}}}}\)

219.	A problem in mathematics is given to four students A, B, C and D whose chances of solving it are \(\dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4}\) and \(\dfrac{1}{5}\) respectively. What is the chance that the problem will be solved?
A.	\(\dfrac{1}{120}\)
B.	\(\dfrac{1}{15}\)
C.	\(\dfrac{119}{120}\)
D.	\(\dfrac{4}{5}\)
Answer» E.

Explore topic-wise MCQs in General Aptitude.

A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E ∪ F) equal to?

If A and B are two events such that \(\rm P(A)=\dfrac{3}{4} \:and\: P(B)=\dfrac{5}{8}\), then consider the following statements:1. The minimum value of P(A ∪ B) is \(\dfrac{3}{4}.\)2. The maximum value of P(A ∩ B) is \(\dfrac{5}{8}.\)Which of the above statements is/are correct?

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:

A trading website states 40% of its customers prefer to buy that particular stock, what is the probability that a customer will not prefer to buy stock?

A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answer at random and answer to different are independent, then the probability of atleast one correct answer is

A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman is

Let a random variable X have a binomial distribution with mean 8 and variance 4. If \(P\left( {X \le 2} \right) = \frac{k}{{{2^{16}}}}\), then k is equal to:

An urn contains 5 red ball and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

Consider a random variable X which follows Binomial distribution with parameters n = 10 and \(\rm p = \dfrac{1}{5}\). Then Y = 10 - X follows Binomial distribution with parameters n and p respectively given by

A pair of fair dice is thrown. What is the probability that the sum of the numbers of both dice is 5?

Let S = {1, 2, … , 20}. A subset B of S is said to be “nice”, if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is “nice” is:

One bag contain 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a ball is drawn from it, what is the chance that it is white?

How many different ways can a ten card hand be dealt from a standard 52 card deck, if order in which the cards are dealt is unimportant?

In a class there are 15 boys and 10 girls. Two students are selected at random. What is the probability of selecting one boy and one girl?

A problem in mathematics is given to four students A, B, C and D whose chances of solving it are \(\dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4}\) and \(\dfrac{1}{5}\) respectively. What is the chance that the problem will be solved?

A dice is thrown, what is the probability getting composite number?

In an entrance test there are multiple choice questions, with four possible answer to each question of which one is correct, The probability that a student knows the answer to a question is 90%, If the student gets the correct answer to a question, then the probability that he was guessing is

A and B are two events such that A̅ and B̅ are mutually exclusive. If P(A) = 0.5 and P(B) = 0.6, then what is the value of P(A|B)?

A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps, he is one step away from the starting point is

If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct/1) P(A̅) + P(B̅) = 2 – 2p – q2) P(A̅ ∩ B̅) = 1 – p – qSelect the correct answer using the code given below:

2 leaves are randomly extracted from a pack of 52 leaves without replacement. By what probability (probability) can you say that both leaves are black?

A dice is thrown, what is the probability getting number divisible by 4?

If three dice are rolled simontaneously then find the probability of getting three sixes.

A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?

How many elements does A ∩ B have?

In throwing of a dice, what is the probability of not getting 4?

Mohan is father of 3 children with atleast one boy. The probability that he has 2 boys and 1 girl is

If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be

In a general survey of 832 people, it was found that 624 owned a car. If a person is selected randomly, what is the probability that the person will not be an owner of a car?

A listing of the possible outcomes of an experiment and their corresponding probability is called

There are 12 boys and 8 girls in a tuition centre. If three of them scored first mark, then what is the probability that one of the three is a girl and the other two are boys?

A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety.

Find the probability that getting 4 digit number with 1 in the unit place and 2 in the tens place when the numbers 1, 2, 3, 4 and 5 are arranged at random without repeating.

A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is:

Bag contain 10 black and 20 white balls, One ball is drawn at random. What is the probability that ball is white

On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face is 8. What is the probability that the first throw of dice yields 4?

Two friends A and B apply for a job in the same company. The chances of A getting selected is $$\frac{{2}}{{5}}$$ and that of B is $$\frac{{4}}{{7}}$$. What is the probability that both of them get selected?

10 books are placed at random in a shelf. The probability that a pair of books will always be together is -

From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -

If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -

The probability that a number selected at random from the first 50 natural numbers is a composite number is -

If a number is chosen at random from the set {1, 2, 3, ......., 100}, then the probability that the chosen number is a perfect cube is -

A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -

The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is -

A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag.Find the probability that one ball is red and one is green.