Probability questions easy part 1 boost up pdfs PDF

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams

We Exam Pundit Team, has made this “BOOST UP PDFS” Series to provide The Best Free PDF Study Materials on All Topics of Reasoning, Quantitative Aptitude & English Section. This Boost Up PDFs brings you questions in different level, Easy, Moderate & Hard, and also in New Pattern Questions. Each PDFs contains 50 Questions along with Explanation. For More PDF Visit: pdf.exampundit.in

1. There are 15 boys and 10 girls in a class. If three

c. 4/13

students are selected at random, what is the

d. 3/13

probability that 1 girl and 2 boys are selected?

e. None of these

a. 1/40

4. 16 persons shake hands with one another in a

b. 1/ 2

party. How many shake hands took place?

c. 21/46

a. 124

d. 7/ 41

b. 120

e. None of these

c. 165

2. Two friends Harish and Kalyan appeared for an

d. 150

exam. Let A be the event that Harish is selected and B

e. None of these

is the event that Kalyan is selected. The probability of

5. Srinaya forgot the last digit of an 11 digit land line

A is 2/5 and that of B is 3/7. Find the probability that

number. If she randomly dials the final 2 digits after

both of them are selected.

correctly dialing the first nine, then what is the

a. 35/36

chance of dialing the correct number?

b. 5/35

a. 1/10

c. 5/12

b. 1/100

d. 6/35

c. 1/1000

e. None of these

d. 1/11

3. A card is drawn from a well shuffled pack of 52

e. None of these

cards. What is the probability of getting queen or

6. A bag contains 6 pink and 5 yellow balls. One ball

club card?

is drawn randomly. What is the probability that the

a. 17/52

ball drawn is Pink?

b. 15/52

a. 5/11

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams b. 1/2

10.A bag contains 5 yellow and 2 green and 3 red

c. 3/11

colour dice. If one dice from the bag are choosen at

d. 6/11

random, what is the probability that dice is either

e. None of these

yellow or red colour?

7. 2 dice are thrown simultaneously. What is the

a. 3/4

probability that the sum of the numbers on the faces

b. 4/5

is divisible by either 3 or 5?

c. 3/10

a. 7/36

d. 7/10

b. 19/36

e. None of these

c. 9/36

11.An integer is chosen at random from the first fifty

d. 2/7

integers. What is the probability that the integer

e. None of these

chosen is a prime or multiple of 4?

8. Two cards are drawn from pack of 52 cards. What

a. 14/25

is the probability that both are kings, when first

b. 3/5

drawn card is replaced?

c. 3/5

a. 1/169

d. 27/50

b. 3/13

e. None of these

c. 3/676

12.2 cards are drawn together at random from a pack

d. 4/676

of 52 cards. What is the probability of both the cards

e. None of these

being jack?

9.From a pack of 52 cards one card is drawn at

a. 25 / 57

random. What is the probability that the card drawn

b. 53/256

is a six or a diamond?

c. 4/221

a. 17/52

d. 1/221

b. 4/13

e. None of these

c. 9/52

13.Tickets numbered from 1 to 40 are in a bag and

d. 3/13

one ticket is drawn at random. What is the

e. None of these

probability that ticket drawn is a multiple of 3 or 7? a. 15/30

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams b. 16/30

e. None of these

c. 17/30

17.A basket contains x black, 4 red and 5 green

d. 18/30

colour balls. One ball is taken randomly and the

e. None

probability of getting a green colour ball is 1/3, and

14.A card is drawn from a pack of 52 cards. The card

then finds the no. of balls in the basket

is drawn at random. What is the probability that it is

a. 12

neither a heart nor a king?

b. 14

a. 4/13

c. 15

b. 7/13

d. 18

c. 9/13

e. 20

d. 11/13

18.Two dice are thrown simultaneously. What is the

e. None of these

difference between probabilities of getting sum of the

15.A box contains 15 tube lights, out of which 6 are

dice is divisible by 5 and the difference of the dice is

repair. 3 tube lights are chosen at random from this

divisible by 2?

box. Find the probability that at least one of these is

a. 7/36

repair?

b. 1/3

a. 53/65

c. 1/18

b. 62/45

d. 1/9

c. 84/65

e. 5/36

d. 73/45

19.When 4 fair coins are tossed together what is the

e. None of these

probability of getting at least 3 heads?

16.Bag A contains 3 green and 7 blue balls. While bag

a. 1/4

B contains 10 green and 5 blue balls. If one ball is

b. 3/4

drawn from each bag, what is the probability that

c. 5/16

both are green?

d. 3/8

a. 29/30

e. None of these

b. 1/5

20.In how many different ways can the letters of word

c. 1/3

„POPULAR‟ be arranged?

d. 1/30

a. 1650

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams b. 1780

c. 1950

c. 6800

d. 2190

d. 5220

e. 2280

e. None of these

24.Two cards are drawn from a pack of cards without

21.In a box, there are 5 yellow pens, 3 green pens and

replacement, what is the probability of getting an odd

4 pink pens. In how many ways can 2 yellow pens, 2

number card in red colour and an even number card

green pens and 2 pink pens can be chosen?

in black colour?

a. 160

a. 4/663

b. 170

b. 3/220

c. 180

c. 7/663

d. 190

d. 5/663

e. 200

e. None of these

22.Bucket A contains x green and x+5 black balls and

25.Bucket P contains 4 green, x black and 5 red

Bucket B contains (x-2) green and (2x-4) black colour

colour balls and probability of getting one black

balls. Find the total number of balls in the bucket B if

colour ball is 2/5. Bucket Q contains (x+2) black,

one ball is taken from bucket A and the probability of

(x+3) pink and (x-3) red colour balls, if two balls are

getting one green ball is 1/3

taken from bucket Q then find the probability of

a. 8

getting at least one is pink colour ball

b. 9

a. 3/38

c. 6

b. 11/38

d. 5

c. 27/38

e. 12

d. 25/38

23.In a language, there are six different words. A

e. 23/38

sentence can be formed by at least 2 words. If order

26.How many 3 - letter words with or without

of words is changed in a sentence, we get a different

meaning, can be formed out of the letters of the word,

sentence. How many different sentences can be

'LOGARITHMS', if repetition of letters is not

formed in this language?

allowed?

a. 1870

a. 720

b. 1970

b. 420

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams c. 5040

30.In how many different ways can the letters of the

d. 120

word WINDOW be arranged in such a way that the

e. None of these

vowels never come together?

27. Two dice thrown simultaneously, what is the ratio

a. 350

of the probability of getting sum of the dice is more

b. 250

than 10 to the sum of the dice is divisible by 3?

c. 720

a. 1:3

d. 300

b. 1:2

e. None of these

c. 1:4

31.A card is drawn from a well shuffled pack of 52

d. 2:3

cards. What is the probability of not choosing Ace of

e. 2:5

club or king of heart?

28. There are 2 shirts, 3 jeans, 3 socks and 2 skirts. In

a. 1/45

how manys ways a shopkeeper can arrange these

b. 1/26

things so that all the socks come together and all the

c. 9/26

skirts come together?

d. 25/26

a. 2520

e. None of these

b. 5040

32. If two dice are thrown then what is the probability

c. 4690

that the sum of the faces of dice are not square

d. 3260

number?

e. None of these

a. 5/36

29.A person can hit a target 4 out of 7 shots. If he

b. 13/36

fixes 10 shots, what is the probability that he hit the

c. 1/3

target twice?

d. 7/36

a. 1672/100000

e. none of these

b. 1879/100000

33. Two cards are drawn at random from a pack of

c. 1659/100000

52 cards. What is the probability that either both are

d. 1748/100000

black or both are jacks?

e. None

a. 62/221 b. 21/312

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams c. 5/21

What is the probability that the selected group

d. 55/221

contains 1 boy and 2 girls?

e. None of these

a. 279/1309

34.Three unbiased dice are thrown at random. What

b. 900 /1309

is the probability that all three dice show different

c. 329/1309

numbers?

d. 211/1309

a. 1/9

e. None of these

b. 1/3

38.From the pack of 52 cards .you have choose 2

c. 5/9

cards. what is the probability taking black king or

d. 7/9

Red card?

e. none of these

a. 153/663

35.From 4 men and 5 women, the committee has to be

b. 174 /663

formed with 5 people and it contain at least one man.

c. 163/663

In how many ways the committee can be formed?

d. 203/663

a. 360

e. None of these

b. 252

39.How many different ways the letters can be

c. 125

formed “HINDUSTAN” so that all the vowels never

d. 330

come together?

e. None of these

a. 335600

36.Anil placed a deck of 52 cards. If you pick two

b. 332550

cards what is the probability that both are aces?

c. 332640

a. 1/169

d. 362310

b. 1/221

e. None of these

c. 1/338

40.In a box there 4 hats in blue , 6 hats in yellow, 3

d. 4/663

hats in red color and we have to take 3 hats and what

e. None

is the probability taking all hats in same colour ?

37.The ratio of boys and girls in class 5:2 and total

a. 25/286

count is 35 .A group of 4 students should be formed.

b. 23/286 c. 29 /286

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams d. 33/286

sock randomly to wear. Now he draws another sock

e. None of these

from the drawer then what is the probability he

41.In how many different ways can the letters of the

draws a sock of same color?

“PRODUCTION” are to be arranged so that the

a. 1/5

vowels should come together?

b. 1/6

a. 15120

c. 1/30

b. 30240

d. 11/30

c. 60480

e. None

d. 120960

45.There are 12 students in a class. If a group of 5

e. None of these

students has to be selected from the class in such way

42. Find the number of ways in which the letters of

that one student is always included, in how many

the word ARRANGE can be arranged such that both

different ways the selection can be done?

R do not come together.

a. 245

a. 950

b. 330

b. 800

c. 410

c. 900

d. 220

d. 750

e. None of these

e. 920

46.In a box containing ten toys, two are defective.

43.A box contains dozen of egg out which 3 are

What is the probability that among 5 toys chosen at

rotten. Two eggs are taken out. What is the

random none is defective?

probability of one egg is rotten and another one is

a. 1/3

good?

b. 2/9

a. 7/22

c. 2/3

b. 9/22

d. 5/84

c. 13/22

e. None of these

d. 3/22

47.From a pack of 52 cards, 2 cards are drawn at

e. None of these

random. What is the probability that either both

44.Six individual sock are present in a drawer- Two

cards are black card or both are heart card?

Red, Two Black and Two White. Pradeep picked one

a. 31/102

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams b. 21/73

a. 19/46

c. 1/5

b. 25/51

d. 17/100

c. 44/77

e. 3/10

d. 21/46

48.A bag contains balls numbered 1 to 30. One ball is

e. None of these

taken out randomly. What is the probability of that

50.Find the total ways of arrangement in a word

ball number is a multiple of 4 or 7?

”PROBABILITY” that the letter P and Y should

a. 11/30

come at end?

b. 1/3

a. 15120

c. 7/30

b. 30240

d. 1/30

c. 60480

e. None of these

d. 120960

49.A box contains 25 bulbs out of which 5 are

e. None of these

defective. 3 bulbs are to be delivered to a customer. What is the probability that he get one defective bulb?

Answer Key with Detailed Solution 1. C Total number of ways of selecting 3 students from 25

=

21 46

students = 25C3

Hence, option C is correct.

Number of ways of selecting 1 girl and 2 boys =

2. D

selecting 2 boys from 15 boys and 1 girl from 10 girls

Given, A be the event that Harish is selected and

⇒ Number of ways in which this can be done = 15C2 ×

B is the event that Kalyan is selected.

10C1

P(A)= 2/5

⇒ Required probability =

(15C2 × 10C1)

P(B)=3/7

(25C3)

Let C be the event that both are selected. P(C)=P(A)×P(B) as A and B are independent events:

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BOOST UP PDFS | Quantitative Aptitude | Probability (Easy Level Part-1) Recommend for Bank, SSC, UPSC & All other Competitive Exams P(C) = 2/5*3/7 P(C) =6/35

7. B

The probability that both of them are selected is 6/35

Clearly n(s) = 6*6 = 36

3. C

Let E be the event that the sum of the numbers on the 2

The probability of getting queen card = 4/52

faces is divisible by either 3 or 5. Then

The probability of getting club card = 13/52

E = {(1,2), (1,4), (1,5), (2,1), (2,3), (2,4), (3,2), (3,3),

The club card contains already a queen card, therefore (3,6), (4,1), (4,2), (4,5), (4,6), (5,1), (5,4), (5,5), (6,3), required probability<...