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Math Assignment Ch15 Class X  Probability
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Q 1. One card is drawn from the deck of 52 playing cards. Find the probability of gettinga) 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 gettinga) 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 gettinga) 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 ina) 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. 
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 isa) 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 gettinga) 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] 
LEVEL  2
Q 11. Find the probability that a number selected from 1,2,3,4……….,35a) 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 isa) 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 Ab) Letter T c) Letter E 

Q 14. In a word PERMUTATION what is the probability of gettinga) A vowelb) 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 numbera) 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 numberb) 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 isa) Red or Blackb) 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) whitec) white or blue 

Q 19. Three coins are tossed. What is the probability of gettinga) No Head b) One Headc) Two Head d) Three Head 

Q 20. Fill in the blanksa) 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

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