Math Assignment Ch-14 Class X | Probability

Maths Assignment on Probability Class X

Extra questions on the topic probability for classes IX and X. Important questions on Probability for classes 9th and 10th for board examinations. 

Maths Assignment on Probability Class 10 Ch-14

Question 1. 

One card is drawn from the deck of 52 playing cards. Find the probability of getting

a) A face card [Ans 3/13]

b) A red face card [Ans 3/26]

c) A spade card [Ans 1/4]

d) A king of red color [Ans 1/26]

e) A jack of heart [Ans 1/52]

f) An ace card [Ans 1/13]

g) A card of spade or ace [Ans 4/13]

h) Either king or queen [Ans 2/13]

i) Neither king nor queen [Ans 11/13]

j) Neither red nor queen [Ans 6/13]

k) 10 of black suit [Ans 1/26]

Question 2. 

A bag contains 3 white, 4 red, and 7 black balls. Find the probability of getting

a) A black ball [Ans 1/2]

b) A red or a black ball [Ans 11/14]

c) A red white or black ball [Ans 1]

d) Not a red ball [Ans 5/7]

e) Neither white nor black ball [Ans 2/7]

f) Not a white ball [Ans 11/14]

Question 3. 

Two dice are thrown , what is the probability of getting

a) Difference of the numbers on the two dice is 2 [Ans 2/9]

b) Sum of numbers on the two dice is 10 [Ans 1/12]

c) Sum of numbers on two dice is more than 9 [Ans 1/6]

d) Six will come up at least once [Ans 11/36]

e) Both are odd number [Ans 1/4]

f) Six as a product. [Ans 1/9]

g) A doublet   [Ans 1/6]

h) Getting same number [Ans 1/6]

i) Getting different number [Ans 5/6]

j) A total of 9 or 11 [Ans 1/6]

Question 4. 

Using the digits 2, 4, 6 all possible two digit numbers are formed. Each digit being used only once. Find the probability of the number so formed is greater than 46       

[Ans 1/3]

Question 5. 

What is the probability of getting 53 Friday in

a) A Leap Year [Ans 2/7]

b) In a non leap year [Ans 1/7]

Question 6. 

Cards marked with number 6, 7, 8, ……………15 are placed in a box. Find the probability of getting a number less than 10.   Ans:  2/5

Question 7. 

A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. Find the probability that it is

a) Not red [Ans 5/6]

b) A white ball [Ans 1/3]

Question 8. 

When 3 coins are tossed find the probability of getting .

a)Two tails   [Ans 3/8]

b) At least two tails   [Ans 1/2]

c) At most two tails   [Ans 7/8]

d) At most 3 heads   [Ans 1]

e) At least 3 heads    [Ans 1/8]

f) Exactly two heads  [Ans 3/8]

Question 9. 

When two unbiased coins are tossed. Then find the probability of getting.

a) Exactly one head  [Ans 2/4 = 1/2]

b) Exactly one tail  [Ans 2/4]

c) At least two tails  [Ans 1/4]

d ) A most two tails  [Ans 4/4 = 1]

e) Not less than one head  [Ans 3/4]

f) No tail   [Ans 1/4]

Question 10. 

The King , Queen , and Jack of club are removed from a deck of 52 playing cards. One card is selected from the remaining cards. Find the probability of getting

a) A heart [Ans 13/49]

b) A club [Ans 10/49]

c) A king [Ans 3/49]

d) A 10 of heard [Ans 1/49]

Question 11. 

Find the probability that a number selected from 1, 2, 3, 4 ………., 35

a) A prime number [Ans 11/35]

b) A multiple of 7 [Ans 1/7]

c) Multiple of 3 or 5 [Ans 16/35]

Question 12. 

A letter of English alphabet is chosen at random. Find the probability that the letter is

a) A consonant [Ans 21/26]

b ) A vowel [Ans 5/26]

Question 13. 

In a word “M A T H E M A T I C S” what is the probability of getting.

a) Letter M or A

b) Letter T

c) Letter E

Answer: a) 4/11  b) 2/11   c) 1/11

Question 14. 

In a word "P E R M U T A T I O N" what is the probability of getting

a) A vowel

b) A consonant

Answer : a) 5/11,  b) 6/11

Question 15. 

Three digit numbers are made using the digits 0, 5 and 7 (without repetition of digits). If a number among them is selected at random, what is the probability that the number

a) Will be a multiple of 5 [Ans 3/4]

b) Will be a multiple of 9 [Ans 0]

c) Will end with 7 [Ans 1/4]

d) Does not end with zero [Ans 2/4]

Question 16. 

Sum of the digits of two digit number is 12 . Write all possible numbers and find the probability of.

a) Getting odd number

b) Getting a number divisible by 4

c) Getting a number less than 30

d) Getting a number greater than 50

Hint : All possible numbers with sum 12 are: [39, 93, 48, 84, 57, 75, 66]

Answer:  a) 4/7   b) 2/7   c) 0   d) 5/7

Questin 17. 

A bag contains 5 red balls , 7 white balls, 5 green balls and 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball is

a) Red or Black

b) Not Green

c) Neither white nor Black

Answer: a) 13/25   b) 4/5     c) 2/5

Question 18. 

A bag contains 48 balls of which x are red, 2x are white, 3x are blue. A ball is selected at random, what is the probability that it is

a) not red

b) white

c) white or blue

Answer: a) 5/6   b) 1/3   c) 5/6

Question 19. 

Three coins are tossed. What is the probability of getting

a) No Head 

b) One Head

c) Two Head 

d) Three Head

Answer: a) 1/8   b) 3/8    c) 3/8    d) 1/8

Question 20. Fill in the blanks

a) Probability of sure event…………

b) Probability of impossible event………

c) Range of probability…………

d) Probability of getting sum 13 in single through of a pair of dice………

e) P(E) + P(not E) = …………………..

f) What are equally likely events

Answers:  

a) 1    b) 0      c) 0 ≤ P(E) ≤ 1    d)  0    e)  1

Question: 21

If the probability of a player winning a game is 0.79, then find the probability of his losing the same game.

Answer: 0.21

Question: 22

From the data 1, 4, 7, 9, 16, 21, 25, if all the even numbers are removed, then find the probability of getting a prime number.

Answer: 1/5

Question: 23

In a pack of playing cards one card is lost. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is queen of heart, if the lost card is a black card.

Answer: 1/51

Question: 24

A carton consists of 60 shirts of which 48 are good, 8 have major defects and 4 have minor defects. Nigam, a trader, will accept the shirt which are good but Anmol, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton,

(a) Find the probability that it is acceptable to Nigam.

(b) Find the probability that it is acceptable to Anmol.

(c) Find the probability that it is rejected by Nigam.

(d) Find the probability that it is rejected by Anmol.

(e) Find the probability of good shirt.

(f) Find the probability of shirt with defects.

Answers

a) 48/60

b) 52/60

c) 12/60

d) 8/60

e) 48/60

f) 12/60

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