Skip to main content

MATHS TEST ON Probability

1. (1) A dice is thrown once. Find the probability of getting
(a) A number greater than 3
(b) A number less than 5

A. ½,2/3, 4/3, 2/3

B. 2/3, 4/3, 2/3

C. 4/3, 4/3, 2/3

D. 4/3, 2/3,13/8

2. A bag contain 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is

(a) Red
(b) Black or white
(c) Not black

A. 7/15

B. 8/15

C. 2/3

D. 4/3

3. A bag contains 4 red 5 black and 6 white balls. A ball is drawn from the bag a random. Find the probability that the ball drawn is
(a) White
(b) Red
(c) Not black
(d) Red or white

A. 2/5, 4/15, 2/3, 2/3

B. 4/3, 4/15, 1/3, 2/3

C. 4/15, 2/3, 2/3 1/3

D. 4/15, 2/3, 4/3 2/3

4. A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither a queen nor a jack.

A. 11/13

B. 12/13

C. 11/14

D. 11/12

5. Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 7?

A. 2/5

B. 2/3

C. 4/3

D. 2/3

6. In a single throw of dice, what is the probability of
(a) An odd number on one dice and 6 on the other
(b) A number greater than 4 on each dice
(c) A total of 11
(d) Getting same number on either dice.

A. 1/6, 1/9, 1/18, 1/6

B. 1/6, 1/9, 2/18, 1/6

C. 1/6, 1/3, 1/18, 1/6

D. 1/6, 1/9, 7/18, 1/6

7. A die is thrown twice. Find the probability of getting
(a) doublets
(b) number greater than 5 on one dice.

A. 1/6, 11/36

B. 1/6, 11/7

C. 1/6, 11/6

D. 1/6, 11/3

8. Three coins are tossed simultaneously. Find the probability of getting
(a) Exactly 2 heads
(b) No heads

A. 2/8, 1/8

B. 3/8, 1/8

C. 3/8, 7/8

D. 4/3, 1/8

9. In a simultaneous toss of four coins, What is the probability of getting:
(a) Less than 2 heads?
(b) Exactly 3 head
(c) More than 2 heads?

A. 5/6, 2/8, 5/16

B. 5/6, 3/8, 5/16

C. 5/6, 3/9, 5/16

D. 5/6, 3/4, 5/1

10. Three coins are tossed once. Find the probability of:
(a) 3 heads
(b) exactly 2 heads
(c) at least two heads

A. 1/3, 3/8, 1/2

B. 1/8, 3/8, 1/9

C. 1/8, 3/8, 1/2

D. 1/8, 3/7, ½

11. A bag contains 5 red balls, 8 White balls, 4 green balls and 7 black balls. A ball is drawn at random from the bag. Fine the probability that it is. (i) Black (ii) not green.

A. 2/3

B. 5/6

C. 3/8

D. 7/3

12. A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a king.

A. 2/3

B. 11/13

C. 3/8

D. 7/3

13. An unbiased dice is tossed.

1. Write the sample space of the experiment

2. Find the probability of getting a number greater than 4.

3. Find the probability of getting a prime number.

A. 6,2,2/3

B. 6,2,1/2

C. 6,2,2/3

D. 6,2,2/7

14. Out of 400 bulbs in a box, 15 bulbs a defective. One ball is taken out at random from the box. Find the probability that the drawn bulb is not defective.

A. 77/80

B. 77/80

C. 77/80

D. 77/80

15. Find the probability of getting 53 Fridays in a leap year.

a. 1/7

b. 2/7

c. 3/7

d. 4/7

16. Three unbiased coins are tossed simultaneously. What is the probability of getting exactly two heads?

e. 3/8

f. 4/8

g. 3/7

h. 4/7

17. A dice is thrown twice. Find the probability of getting (a) doublets (b) prime number on each die.

i. 3/8

j. 1/4

k. 3/4

l. 2/4

18 One card is drawn from a well shuffled pack of 52 cards. Find the probability of drawing.

(i) an ace (ii) 2 of spades (iii) 10 of black suit (iv)a king of hearts

m. 1/13,1/13,1/13,1/13

n. 1/13,2/13,1/13,1/13

o. 1/13,1/13,3/13,1/13

p. 1/13,1/13,1/13,4/13

19. One card is drawn from a well shuffled deck of 52 cards calculate the probability that the card will

a) not be an ace

b) be an ace

q. 12/13,1/13

r. 2/13,1/13

s. 2/26,1/13

t. 2/13,1/52

20. Find the probability of getting Monday or Tuesday in a leap year.

u. 1/2

v. 2/7

w. 1/7

x. 2/14

21. From a group of 3 boys and 5 girls, a child is to be selected for the competition. Find the probability that the selected child is ( i ) a boy ( ii ) a girl.

y. 3/8,5/8

z. 3/5,8/3

aa. 8/5,4/3

bb. 1/13,1/13

22. In a single throw of two dice , find the probability of getting

i) Two heads ii) At least one heads

cc. ¼,3/4

dd. 2/4,3/4

ee. ¼,1/2

ff. ¾,3/4

  1. What is probability of choosing the red ball from a box containing 20 balls if it is having equal number of yellow, red, blue and green balls?

gg. 5/20

hh. ¼

ii. ½

jj. 1/4

24. There are three children in a family. Find the probability that there is one girl in the family.

kk. 1/3

ll. ¼

mm. ½

nn. 1

  1. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card drawn will be an ace.
    1. 1/13
    2. 4/13
    3. 13/52
    4. 13/52

Answers

1. 1/2, 2/3,

2. 7/15, 8/15, 2/3

3. 2/5, 4/15, 2/3, 2/3

4. 11/13,

5. 2/5

6. 1/6, 1/9, 1/18, 1/6

7. 1/6, 11/36

8. 3/8, 1/8

9. 5/6, 3/8, 5/16

10. 1/8, 3/8, 1/2

11. 5/6

12. 11/13

13. 6,2,1/2

14. 77/80

15. 2/7

16. 3/8

17.1/13,1/13,1/13,1/13

18.1/13,1/13,1/13,1/13

19. 2/13,1/13

20.2/7

21.1/4,3/4

221/4,3/4

231/4

24

25.1/13


11. An unbiased dice is tossed.

26. Write the sample space of the experiment

27. Find the probability of getting a number greater than 4.

28. Find the probability of getting a prime number.

Solution:-

  1. Sample space = {1, 2, 3, 4, 5, 6}

n(s) = 6

2. E = event of getting a number greater than 4

= {5, 6}

n (E) = 2

P (> 4) = Probability of a number greater than 4
= n(E)/n(S) = 2/6 = 1/3

3. E = Event of getting a prime number

= {2, 3, 5}

n (E) = 3

P(Prime number) = Probability of a prime number

12. Out of 400 bulbs in a box, 15 bulbs a defective. One ball is taken out at random from the box. Find the probability that the drawn bulb is not defective.

Solution:- Total number of bulbs = 400

Total number of defective bulb = 15

Total number of non-defective bulbs = 400-15

= 385

P (not defective bulb) = 385/400

= 77/80

13. Find the probability of getting 53 Fridays in a leap year.

Solution:- No. of days in a leap year = 366

366 days = 52 weeks and 2 days.

A leap year must has 52 Fridays

The remaining two days can be

(a) Sunday an Monday
(b) Monday and Tuesday
(c) Tuesday and Wednesday
(d) Wednesday and Thursday
(e) Thursday and Friday
(f) Friday and Saturday
(g) Saturday and Sunday

Out of 7 case, 2 cases have Friday

P (53 Friday) = 2/7

14. Three unbiased coins are tossed simultaneously. What is the probability of getting exactly two heads?

Solution: - When three coins are tossed simultaneously, the sample space is

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.

n(S) = 8

E = Set of cases favorable to the event

= {HHT, HTH, THH}

n(E) = 3

P (exactly two heads) =

15.. A dice is thrown twice. Find the probability of getting (a) doublets (b) prime number on each die.

Solutions: - Sample space =

S = { (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) }

n (S) = 36

(i) E = Events getting doublet

= {(1, 1) (2, 2) (3, 3) (4, 4) (5, 5) (6, 6)}

n (E) = 6

P(doublet) =

(ii) E = Events getting prime number on each die.

= {(2, 2), (2, 3), (2, 5), (3, 2), (3, 3), (3, 5), (5, 2), (5, 3), (5, 5)}

n(E) = 9

P (getting prime number on each die)

= n(E)/n(S) = 9/36 = 1/4

16. A bag contains 5 red balls, 8 White balls, 4 green balls and 7 black balls. A ball is drawn at random from the bag. Fine the probability that it is. (i) Black (ii) not green.

Solution:- Red balls = 5

White balls = 8

Green balls = 4

Black balls = 7
Total balls = 24

(i) P (Black balls) = 7/24
(ii) P (not a green ball) = 1- P (green ball)
= 1 - 4/24 = 20/24
= 5/6

17. A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a king.

Solution:- P (neither an ace nor a king)

= 1 – p (either an ace or a king)

= 1 – 8/52 {no. of ace = 4}
{no. of king = 4}
Total = 8

= (52 – 8)/52

= 44/52

= 11/13

Comments

Popular posts from this blog

The Missing Mail | Class IX - Interact in English

NCERT / CBSE Literature Reader for English Course (Communicative) Important Exercise Questions Q.3: (a) Why is Ramanujam worried about getting his daughter married? Give four reasons. (b) How does the postman console and guide Ramanujam and his family during each of the instances you have listed in 3 (a)? Ans 3(a): Ramanujam is worried as he could not find a suitable match to marry his daughter off which was getting delayed because of different reasons. The four causes of his worriedness are - (i) Sometimes horoscopes did not match, (ii) Sometimes the girl’s appearance were not approved, (iii) At times there were problems of too much dowry and other financial matters, (iv) The season was closing with only three more auspicious dates left, whereas, he was not able to finalise any alliance by that time. Ans 3(b): First instance - When Ramanujam said that horoscopes did not agree Thanappa consoled and guided him by saying that he should not utter inauspicious words and when the God wills ...

The Tribute - Multiple Choice Questions

Question (1):   What does the word 'petite' mean? 1. strong 2. small 3. neat 4. clean Ans:   2 Question (2):   What was almost a routine affair for Babuli during his student days? 1. working in the city 2. writing to his elder brother 3. going home in the rickety bus 4. reading big books Ans:   3 Question (3):   What was written in the elder brother's letter? 1. That they were missing him in the village 2. That there was to be a partition 3. That there was a festival 4. That he would get money Ans:   2 Question (4):   How many days were left for the partition? 1. A week 2. A month 3. A day 4. Three days Ans:   1 Question (5):   How much money was expected for Babuli's land? 1. Seven thousand 2. Twenty thousand 3. Ten thousand 4. Forty thousand Ans:   2 Question (6):   What makes Babuli think of the butcher? 1. Hunger 2. Wife's heartlessness 3. The i...

ENGLISH (Communicative) Sample Question Paper 5

Sample Paper – 2009 Class – XSubject – ENGLISH (Communicative) General instructions: The paper consist of FOUR sections: SECTION A (READING) - 20 Marks SECTION B (WRITING) - 30 Marks SECTION C (GRAMMAR) - 20 Marks SECTION D (LITERATURE) - 30 Marks Attempt all the questions. Do not write anything on the question paper. All the answers must be correctly numbered as in the question paper. And written in the answer sheets provided to you. Attempt all questions in each section before going on to the next section. Read each question carefully and follow the instructions. Strictly adhere to the word limit given with each question. Marks will be deducted for exceeding the word limit. SECTION A (READING) – 20 MARKS A1. Read the following passage and answer the following questions: [12] THE TUITION TRAP 1. Given the general awareness of the woeful condition of our State sch...