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### Math Assignment Ch-14 Class X | Probability

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__Maths Assignment on Probability Class X__

__Maths Assignment on Probability Class 10 Ch-14__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]

Q2. 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]

Q3. 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]

Q4. 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]

Q5. 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]

Q6. 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

Q7. 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]

Q8. 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]

Q9. 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]

Q10. 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]

Q 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]

Q 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]

Q 13. In a word “MATHEMATICS” what is the probability of getting.

a) Letter M or A

b) Letter T

c) Letter E

Q 14. In a word PERMUTATION what is the probability of getting

a) A vowel

b) A consonant

Q 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]

Q 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]

Q 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

Q 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 isa) not red

b) white

c) white or blue

Q 19. Three coins are tossed. What is the probability of getting

a) No Head

b) One Head

c) Two Head

d) Three Head

Q 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**

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